Find the limit: limx→ −3 [√x^2 + 16 + 2 sin(pi) − 3e^3^+x

Q: Find the limit: x->0  2 sin2 3x / 3x2

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Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

Q: xª + x³ – 2x +1 Find lim 00 214 — Зх3 + 5x2 + 1'

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Q: V7x* +4x' -x² -2 lim x³ - 2x² -3x+1 4x-x²-2 x -0

A: Solution:

Q: Use synthetic division to find 1"(-1) and f"(-1) where f(x)= 3x'-8x + 5x-2x' + 5x +13

A: To find the f'''-1 and f4-1 Given that the  fx=3x7-8x6+5x4-2x3+5x+13 f'x=21x6-48x5+20x3-6x2+5…

Q: why is limx->0[x^4 * cos(2/3x)] not equal to zero? I thought that if I plug in zero to x^4 it makes…

A: Given that: limx→0x4.cos23x

Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

A: Given           Function is :                            F(x)=(x+2)2 for the domain [-2, ∞)   To…

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

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Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

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Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: Calculate limx→∞x3+3x+52x3−6x+1.

A: We have to calculatelimx→∞x3+3x+52x3-6x+1

Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: Find the intergral of (5-4x)/(√(12x-4x^2-8) ) dx

A: It is given that,               (5-4x)/12x-4x2-8dx     we have to integrate it.

Q: lim (1 – 3x² )= x-2 а. -13 b. 11 С. 13 d. -11

A: By the linearity of limit of a function we can solve the given problem

Q: Inx 1 13. lim, X,

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Q: Find lim Sin 3x (1- Cosx) メーや。 メ*s X Sinzx cosx

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Q: P5). Consider the function f(x) = 9/(x^2+7x+10). PLEASE see following  details in the picture

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Q: Find the asymptotes of:F(x) = x^4−16/x^2 − 2x

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