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Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
Yes, that happens with any continuous function. The limit is equal to the function value in this case.
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What is limit of 1 -cos x divided by x as x approaches 0?
1
What term describes a function whose graph is composed of isolated points?
A graph that has isolated points is discontinues if isolated means that a point is plotted say a but the limit as f(x) approaches a does not equal a
What is the value if we divide 0 by 0?
One cannot divide by zero, even if the numerator is zero. The limit, however, of a function which as it aproache an x value for which itequals 0/0 can be found using calculus and L'Hopital's rule.
What is the exact trigonometric function value of cot 0?
There is no value cot 0, because cot 0 is equivalent to 1 / tan 0, which is equivalent to 1 / 0, which is undefined. That said, the limit of cot x as x approaches 0 is infinity.
How do I evaluate the limit sin9x divided by tan9x when x tends to 0 without using L Hospitals rule?
First to simplify matters, change y=9x. So we are looking at limit sin(y) divided by tan(y).Now lets look at right angled triangle wheresin(y) = a/ctan(y) = a/bthus we are looking at the limit of (a/c)/(a/b) = limit of b/cAs the angle y shrinks, the right angle remains constant, and the remaining angle approaches a right angle. Thus at the limit we have a triangle with equal angles and thus where b=c.As a result limit you are trying to calculate is 1.
