Let f(x) = (1+sin?x) then Limit of f(x) approached to zero equal to : %3D as x Awww

Q: If you restrict the function f(x)=x^2 to the set [0, 1], what are it's fixed points and its inverse?

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Q: Consider the following. T/2 3 cos?(0) de State the half-angle identity that can be used to evaluate…

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Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: If f x = x3 - x ,find  f '''  and f 4 x

A: We first find the 1st and 2nd derivatives.

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Show that the graph of the function f(x) = 3x + sin x + 2 does not have a horizontal tangent line.

A: Given: fx=3x+sinx+2 we know that for horizontal tangent slope of tangent has to be zero and slope m…

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

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Q: If f(x)=x'2-2x+7 evaluate f(-5)

A: To find f(-5).

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

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Q: For questions 8-10, let f(x) be a function defined everywhere such that f"(x) = 3x² – 12x. What are…

A: Definition used -                   Point of inflection - A point where the concavity of graph of…

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). O…

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Q: Use the graph of f(x) to find the interval where f"(x) > 0. O A. (0,00) O B. (0,3) OC. (-3,00) O D.…

A: We need to find interval where f''(x) will be positive.

Q: Calculate f"'(-1) for f(x) = 3x 5 - 2x 2 + 1x- 2 .

A: Consider the given function, fx=3x5-2x2+1x-2 here the objective is to find the value of the third…

Q: Help find a function f so that f ‘(x) = 3x2+ 2x+5 and f (1) = 10

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.