1) lim (tan x) cos x X-2

Q: Find lim (1 + sin5x) cot3x x-0+

A:

Q: Find: tanx-sinx d) lim x3 4.

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Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

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: sin x cos 4x 32) lim X0 X+X cos 5x

A: Consider the given limit

Q: 2 cos x tan 7x 2b) find lim

A:

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

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

Q: 5) lim X-2 Sin (3x-6) 2-x

A: We have to evaluate the limit of the following:

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

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: 2. 2. COS X Sinx lim 4x-X

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

A:

Q: The value of a and b so that X(1 + a cos x)- b sin x lim =1 are .3 to 3 3 5 (b) 2 2 (a) 3 5 (c) 2 2…

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Q: 35. lim (sec 2/2 x – tan æ)

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Q: 4. lim 3 sin (tan¹x)

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Q: lim, 0 6 tan² (5x) 15x²

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Q: Show that lim x|cos )= = 0.

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Q: V1+tan x-V1+sin x Evaluate lim→0

A: Multiply the numerator and denominator by the conjugate of the numerator to simplify the expression.…

Q: x-sin x b) lim x3

A: For the given    is calculated using expansion of sin x as shown  below

Q: 9. lim(4secx-4 tan x)

A:

Q: sec²0-1 0 0 3 sin²0 2. Find lim

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Q: Calculate lim-x+sin x x0 -1+ cos x

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Q: cos²x-1 x-0 1-cosx 16. lim

A: we have given limit

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.