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Earn +20 ptsQ: Does limit always tend to zero only?
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Continue Learning about Calculus
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 limit of infinity over zero?
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
What is calculus about?
Calculus is about applying the idea of limits to functions in various ways. For example, the limit of the slope of a curve as the length of the curve approaches zero, or the limit of the area of rectangle as its length goes to zero. Limits are also used in the study of infinite series as in the limit of a function of xas x approaches infinity.
Why is the exponent zero on a number that is equal to zero?
The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).
How do you write a function rule for x equals -2 and y equals -3?
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