Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -O0 f(4) = 0 lim f (x) = 0 T→5- lim f (x) = -∞ I→5+ 5 f(-1) :

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Q: The limit below represents a derivative f' (a). Find f(x) and a. 43+h - 64 lim h-0 h f(x) = a =

A: The limit below represents a derivative f'(a) defined byf'(a) = limh→0 43+h-64h  ....(1)we find f(x)…

Q: find the horizontal asymptotes of the function by computing the limits at infinity.

A: Given the function:

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A: =?

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Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0, lim f(x) = -,…

A: F(x) = -(x-5)/(x-8)x^2  I have done step by step solution in detail..go through the solution....hope…

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Q: b) Find two functions such that lim, 0 f(x) = 0 lim, 0 g(x) = 0 but lim, 0 f(x)g(x) = 1

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Q: ) Find the value of k that makes function continuous at ¤ =4 f(x) = { | 2x +7 > 4 6x -k < 4 (i) If…

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Q: Find the following limits: Vx+3-1 i. x-2 x+2 lim 1 + x-1- \]x-1| ii. lim x2 +3x, Vx+-7 lim X→+co…

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A: f(x)=2x3+10

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Q: Q1) A- Prove that: cotx = - tan-1x B- Find: 1. lịm 2. lim(v9x2 - x- 3x) cotx

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Q: 1 f(x), where f(x) = Find lim x + 10 x→- 10- O A. - 1 O B. ∞ O C. - ∞ D. 0

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Q: 1. Determine whether the function f(x) = x2 + 6x + 9 is continuous at x =-= Sketch its graph…

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Q: t. Find f' (x) = lim,→0 f(x+h)-f(x) for f (x) = Vax

A: We have to find the derivative of given function using first principle of differentiation.

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A: According to our policy at Bartleby, I can solve only three sub- parts. Given a function :…

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A: Just put the give function in the given defination and simplify.

Q: For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h. f′(x)= Using this, find…

A: Equation of the line passing through the points x1,y1 and having slope m is y-y1 =mx-x1.

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Q: (c) Find the following limit: Vx +1- 2 lim X-3 x(x - 3) V9x2 + 5 lim x-00 X- 1 cot 0 csc lim sin e

A: Given we have to find the limit

Q: Determine if this function is continuous at z = -1 f(1) I -1 where f (x) = I+2 and g (1) = - +3z +…

A: NOTE: Refresh your page if you can't see any equations. . here we want the left-side limit at x=-1…

Q: 2x f(x) x + 6 10 100 1,000 f(x) -5 -10 -100 -1,000 f(x) Use the results to guess at the indicated…

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Q: (a). Determine the interval(s) on which f(x) = is continuous. (b). Find lim analytically. 9-1 3 -1…

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Q: 45. a) Find lim h(x). b) Find h(1). c) Is h continuous at x = 1? Why or why not? d) Find lim, h(x).…

A: Given Example -

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

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Q: 1 | 1. lim f(x), where f (x) = x→1 x² – 1° f (x) f (x) 1.002 0.998 1.001 0.999 1.0005 0.9995 1.00001…

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Q: f(x+h. f'(x) using the definition lim h-0 O 26x + 30 O 5z + 13 O 5x O 10x + 13 O 10z

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Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Please show step-by-step solution

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Q: -x + 1, x > 0 3) Let f(x) = sin x -,x < 0' (a) Find left-hand and right-hand limits as "x"…

A: we have given f(x).  We have to find the left hand and right hand  limit.

Q: O3: A- Find the limit for the following functions: - tan2x 4х-3 3x3-9x2+x-3 1- lim x→0 sin4x 2- lim…

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Q: Given a function f(x) continuous xeR such that lim f(x)+log(1-1)-log(f(x)) = 0, then f(0) is <

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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.