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The answer depends on the side from which x approaches 0. If from the negative side, then the limit is negative infinity whereas if from the positive side, it is positive infinity.

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Q: What is the limit of trigonometric function csc 2x cos 5x as x tends to zero?
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What is the limit of sin3x times sin5x divided by x squared as x approaches 0?

For ease of writing, every time I say lim I mean the limit of _____ as x approaches zero. Lim sin3xsin5x/x^2=lim{[3sin(3x)/(3x)][5sin(5x)/(5x)]}. One property of limits is that lim sin(something)/(that same something)=1. So we now have lim{[3(1)][5(1)]}=15. lim=15


Sketch a Tangent Functions?

A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2π radians, so we can plot points every 2π units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians. The graph reaches its maximum value of 1 at π/4 and 7π/4 radians, and its minimum value of -1 at 3π/4 and 5π/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians, with a period of 2π radians.


What is the cosine of zero?

It is 1.


What is tan of 0?

Tan of 0 equals zero.


What is phase shift when a sine wave with the maximum amplitude at time zero?

360 degrees

Related questions

What is the difference between x tends to 0 and limit of x tends to 0?

The difference can probably be stated more explicitly in mathematical terms."x tends to 0" typically implies that x is an independent variable of an unstated function. You are evaluating the function as this variable tends to zero; or, limx→0 f(x)."limit of x tends to 0" instead implies that "x" is the function, and the value of it as you approach some unstated value tends to 0; or, lima→b x(a) = 0 where "b" is the value the function is approaching, whether real or ±infinity.


What is zero to the fourth power?

Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.


What is limit of 1 -cos x divided by x as x approaches 0?

1


How is the rate of change represented in an equation?

If f(t) is some function of t (time), then the rate of change, with respect to time, is represented by f'(t). This is equal to the limit, as dt tends to zero, of {f(t+dt)-f(t)}/dt : if the limit exists.


What is the limit of x-sin x cos x over tan x -x as x tends to zero?

The limit is 2. (Take the deriviative of both the top and bottom [L'Hôpital's rule] and plug zero in.)


What is the infinite limit of ln 0?

If x --> 0+ (x tends to zero from the right), then its logarithm tends to minus infinity. On the other hand, x --> 0- (x tends to zero from the left) makes no sense, at least for real numbers, because the logarithm of negative numbers is undefined.


What is the difference between differential and derivative in the field of calculus?

The derivative refers to the rate at which a function changes with respect to another measure. The differential refers to the actual change in a function across a parameter. The differential of a function is equal to its derivative multiplied by the differential of the independent variable . The derivative of a function is the the LIMIT of the ratio of the increment of a function to the increment of the independent variable as the latter tends to zero.


Why trigonometric table are not zero?

PLEASE rephrase that. I don't speak broken


What do you get if you divide any number by 0?

It depends what the number is: f the number is not zero you get an error as it cannot be done. If the number is zero you get any number you want. This is used in calculus as the limit of a division where the dividend and divisor both tend towards zero: the limit is zero divided by zero, but as the numbers tend towards zero the division tends towards a value. For example, if a chord is drawn on a circle as one point moves towards the other, the slope of the cord (as calculated by the gradient between the two end points) tends towards the slope of the tangent at the point which is not moving - when the points coincide you have zero divided by zero and this is the slope of the tangent at the point!


What are the different rules of finding the limit of function?

Given a function sequence f1(x), f2(x), f3(x)..., the limit can be defined in several ways: - Point by point limit; that is, it converges to a new function at each point. - Lp convergence; that is, it converges to a new function in Lp-norm. - Almost everywhere convergent; that is, it converges to a new function except a set with measure zero.


What are the characteristics of graph of exponential function?

If graphed in standard form (for example, x-axis is horizontal, with increasing values towards the right):The function value increases from left to right (it is strictly increasing monotonic).The function is concave upwards (its slope increases from left to right).It crosses the y-axis a y = 1.Values are always positive.Towards the left, values get closer and closer to zero, but never quite reach it (if x tends towards minus infinity, y tends towards zero).Towards the right, the function value is unbounded (if x tends towards plus infinity, y tends towards plus infinity).


Why does the derivative of sin x equal cos x reason not prove?

Because the slope of the curve of sin(x) is cos(x). Or, equivalently, the limit of sin(x) over x tends to cos(x) as x tends to zero.