Find the limits in Exercises 49–56. lim V1 + cos ( csc x) 49. lim sin x-2 50. х x→-7/6 sin 0 tan 0 – 1 51. lim 52. lim п 53. lim sec e* + ™ tan 4 sec x T + tan x 54. lim sin x→0 tan x – 2 sec x sin t по 55. lim tan( 1 56. lim cos sin 0 t→0 0→0

Q: Find g'(x) if g (x) = 5√x tan x. 5(2 cot x+tan x) 2√x 5 tan x(2x sec x+1) 2√x 5(x sec² x+2 tan x)…

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Q: S(sec a tan x 5æ4)dx tan x + x +c - sec x + x' + c sec x – x5 + c sec x + x +c sec x – x + c

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Q: (sinx -) tan*(5x) Q3/ 1)- lim, 2)- limx-0 (3sin?x -sinx +1) x sin3 (2x)

A: There are multiple question. As per Bartleby policy Kindly ask other question separately.  Given…

Q: tan (5x) x sin3 (2x) 2)- limx-o:

A: we have to evaluate the A=limx→0tan4(5x)xsin3(2x)

Q: tan2x 4) lim, -X, 2 x- 2

A: Explanation of the answer is as follows

Q: e* tan (e*) dx sec2 (e*) – 7

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Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

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Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 6. f tan x secx+4 cos x - dx

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Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: cos(2x)– cosx sin x 4. lim, »o

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Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…

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Q: tan t sec 2t 2- lim 3t

A: Using rules of limits to find the answer.

Q: 1-sinx x²-49 b. lim x→7 x-7 lim C. lim X→00 x²+1 a. X 1-cosx

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Q: Evaluate / tan*(x) sec*(x) dæ.

A: I=∫tan3(x)sec2(x)dxsubstitute  tanx=udiffrentiatesex2xdx=du

Q: 35. lim (sec 2/2 x – tan æ)

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Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: Use the substitution u = sec x to evaluate tanx sec x dx 1 -sin 4x + C 32 -sin 2 x + + + C 1 sin 4x…

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Q: 1 Integrate: S tan*÷x dx 3

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Q: Evaluate:- x+2 sin x 1: lim Vx +2 sin x +1-Vsin? 40 einf

A: Since you have asked multiple questions in single request.so we will answering only first question.