1-COSX Find k so that f(x)= { 4x2 X+0 is continuous at x-0 X=0 O 2/5 3/4 O 1/2 1/8

Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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A: To evaluate the below limit

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A: To find limx→0sin(x)x numerically. Find the f(x) values for each x value using function f(x)=sinxx.…

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A: This question is related to limit of function, we will use algebric operations and trignometric…

Q: Limits involving conjugates Evaluate the following limits

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: Given:

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A: We have to solve given problem:

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Q: (a) lim sin 3x x-0 sin? 5x (b) lim x-0 x2 (c) lim tan?x x-0 x2 cos? x - 1 (d) lim x2 cos?7x - 1 (e)…

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Q: find the one-sided limit

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: x + 3 6x2 + x - 1 41. lim x-3 x +x – 6 42. lim x→(-1/2)* 4x² - 4x - 3 43. lim 44. lim 6 45. lim x→-4…

A: We will evaluate this limits by using one sided limit as shown below

Q: 6) a) show that Sx dx is divergent b) Show that Lim = 0. This shows we canuat xdx -- define = im…

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Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x…

A: ' According to the guidelines issued by the company we are supposed to answer only first three…

Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: Find all critical points of the function f(x) = COS cos (x) +7x for -1 <x < 1. (Use symbolic…

A: We will solve the problem

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Q: sin (x – 4) x < 4 Let F (x) cos (x – 4) 4< x Find lim F (x). x4+ lim F (x) = x→4+ %3D

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Q: 12 lim 3+ = 3 n-00 uction f(x), then: f(x) dx =

A: We have to find integral

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Q: 2. lim 2. lim f(x) = 1 and f(0) = -3 1. lim f(x) = -1 and f(1)DNE x-1

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: sin 3x (a) lim x-0 x (b) lim sin² 5x x-0 x2 tan? x (c) lim x-0 x2 cos? x – 1 (d) lim cos27 x – 1 (e)…

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Q: cos 2x – cos x lim | x→0 sin x O -1/4 О 3/2 O -1/2 O -2/3

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Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

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Q: lim x→0 g(x) , where ((1-cos(x))/x) <g(x)<.5e^x-.5 for all x on [− 2 2, ].

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Q: #37

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Q: sin 3kx Find k such that f (x) = x + 0 is continuous everywhere. %3D 6 - k x = 0

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Q: Finding the extrema of f(x) = 2x² – 3 x³ on the interval [0, 1]. %3D - Finding the extrema of f(x) =…

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Q: sin(4z) f(x) = 9x 0.4 0.35 0.3 0.25 0/5 -0.25 0.25 sin(4x) Evaluate lim 9x Enter at least 3 decimal…

A: Let's find.

Q: 1 - cos b. lim COS x 1 x0cos x 1 20. a. lim x0COs x 1 a inil ol l

A: Given information:The given limit function is shown below:a)

Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: (b) lim (e) lim x-0* V4+ Vx-1 x+sin x (h) lim X0 x+ cOS X x+sinx (k) lim [x] (n) lim X3 X

A: Limits questions

Q: n[-5, 7), 1-cos x Find the absolute extremum point (s) of f(x) = e- if any.

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Q: 1. lim f(x) = -1 and f(1)DNE %3D

A: In this question , we make a graph. when x tends to '1' , f(x) tends to -1. and f(1) does not…

Q: x² – 9 2. lim x →- 3- x+3 (4 + h)² – 16 4. lim h-0 h sin2x 6. lim t tan³x

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Q: x-1 5. lim n0 x+1 f(x) f(x) -1 1 -0.8 -0.35 0.75 0.45 -0.1 0.2 0.09 -0.9 -0.0003 -0.000001 0.0003…

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Q: etermine if g is differentiable at x = 0 if -1 COS if – 1 0. x + cos x

A: Differentiable

Q: 2x2+1 (3) lim х—2 у Зх-2 (4) lim x* x→0+ 1-cos x (5) lim x2 X→0

A: We have to find limits of the given functions

Q: 5x+1 x>-2 e. lim f(x), (x) = { 1s-2 I. Iim +2

A: -2+ means on the right side of x=-2  So we will take the first function

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Q: Find the limits

A: We have to find the limit: limx→0x2-12-cos x Since this is determinate limit so we just have to put…

Q: 1+ cos x (b) lim x→T 1 – COs x

A:

Q: (d) lim[[x]] (g) lim Vn +n-Vn² +10 1+ sin x () lim

A: We are authorized to solve only 3 subpart, kindly repost remaining Limits