Which of the following is NOT an even function?: * (A) f(x) = 3x2 (B) f(x) = |x| (C) f(x) = cos x (D) All of the above are even functions

Q: 5. Evaluate lim sin(x)-(x² +3x– e*). 1-0

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Q: (2-4)* Q1: limx-1 sin(x³–1) x-1

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Q: x²-sin²2x 2) lim x-0 x² 4) lim(1+x) cScx x-0

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Q: 3x+7 sin2x x+x.cosx 1- lim- x2-2 lim 2x2+x 3 - lim- x→0 2 - 00+X x→0 sinx.cosx 1 lim x-1- 1-x2 x-3…

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Q: 1. sin(2x) lim X = 0 4х x° – 2x + 1 f(x) - x* + 3 Find all zeroes of f 2.

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Q: (2) 1: limx-1 sin(x3–1) x-1

A: limx→1 (2-1x)2sin(x3-1)x-1=limx→1 (2x-1x)2sin(x3-1)x-1=limx→1 4x2-4x+1x2sin(x3-1)x-1=limx→1…

Q: tan x lim 3) Vx+1-1

A:

Q: cos(²²) – 1 ()- lim 7 x3

A: Given that, limx→0cos(x2)-17x3 By using limx→0cf(x)=climx→0f(x), where c is constant.…

Q: 2x-1 Let f (x) = %3D x+2 Find f' (x). First set up the limits and simplify Using equation (6) from…

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Q: cos x lim X-0 x2-x+3 lim 1-vx-6 x-7 x-7 X+7

A: We have to find out limit

Q: -lim COS X tanx <-2メ X-8 2 lim 3 x→2 x42x +X-2 A

A:

Q: 111. lim cos x -2

A: To find,

Q: lim (cos(9x)) (+) x-0+

A:

Q: The range of F (x) = 3 sin 2 x is -3≤F(x)≤3 -1≤F(x)≤1 -2≤F(x)≤2

A: The given function is: F(x)=3 sin(2x)

Q: 1-cos 2x lim x→0 x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (1 point) Suppose f" (x) = –16 sin(4æ) and f' (0) = –4, and f(0) = -1. -1. f(T/2) :

A: Given,f''x = -16sin4xIntegrating on both side with respect to x, we get;f'x = - 64cos4x +…

Q: x sin(x-1) с) lim х+1 2х2-х-1

A: Solution: The objective is to find the limit value of the given function

Q: Which of these is fixed point equation for f(x) = x*+9x²-x-3. O f(x)=x/(x°+2x) O f(x)=(x+3)/(X+2) O…

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Q: 2 2- limx-1 sin(x3-1) x-1

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Q: Q1) Solve:- 1) lim x-2n 2x-4n 2) lim x(1-сosx) x-0 tan(tan?x)

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Q: 1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3…

A: the amplitude of the function is 3 the time period of the function is  2π1/4=8π

Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

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Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: 3x2 -х+1 - lim x→+0 V9x5-x3+3-x2 (x-2)tan?(3x-21) - lim x→7+ sin?(x2 -9x+14)

A: Limits

Q: f (x) = - x² - 2 as x → -0 f (x) – as x → -o f(x) →-∞ as x → +∞ f (x) → +∞ as x → +o0 ƒ (x) as x -…

A: To describe the end behaviour of polynomial

Q: If f(x) is a function with period 2L = 4 given on the interval (−2, 2) with (in picture) Is this…

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Q: 2х + 1 29. lim x² – x X→-∞ - sin 2x 31. lim

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Q: Evaluate: lim   (1−cos−1x)csch(1−x) x→1−

A: We have to find the limit.

Q: tan 2x lim 4.x4

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Q: Evaluate

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Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

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Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: Find x² lim x0 1 - cos x

A: Solved below...

Q: find lim x->0 cos(12x) -1/3x. not using the l'hospital rule. must show all steps

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Q: tan x – 4 - If f(x) = sec x f' (x) = f'(1) =

A: We will use relationship between different trigonometric function to solve this.

Q: 7- sin-(e*) 2 lim V1 - e2x

A:

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: 3 lim tan³ 2x x→0

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Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

A: Given that the function  is    f(x) = -3x3 - 2x2 - x + 3  Here we have to find the tangent line at…

Q: 2tan x- x lim, -1 2х -sin " x,

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Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: lim as x goes to 0 (sin(2x)+7x2 - 2x / x4 + 2x3 + x2)

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Q: An even function is one like x2 or cos x. f(x) is even if......... f(x) = finite f(x) = -f(x) %3D…

A: The objective is to select the correct option from the given options.

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.