3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

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

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Q: (th)-tsC by recognizing Evaluate the limit tan it as a derivative of Some function and using…

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

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Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: . Use the Squeeze Theorem to determine the value of limx sin

A: To evaluate the given limit limx→0x4sinπx by using the Squeeze theorem. Now, the Squeeze thorem…

Q: Hence calculate lim 1- an (x³)' In cos x

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Q: Use the Squeeze Theorem to fĩnd lim In(x + 1) cos(-)

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

A: Explanation of the answer is as follows

Q: Prove that lim x->0+ √ x [1 + sin2 (2 π/x)] =0

A: Given: limx→0+x1+sin2 2πx By using the property of limit, the limit of a product is the product of a…

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: Use the SQUEEZE THEOREM to evaluate lim x →+∞ 3 sech x+sin² x In x

A: Given,         limx→∞ 3sechx+sin2xlnx.

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

A:

Q: (d) Apply the Squeeze Theorem to verify that lim x² sin I-0 (-1). = 0.

A: SQUEEZE THEOREM-:  Let  f , g and h be functions defined on an interval I . Suppose that for every x…

Q: Find Lim o'sin to Sin 02

A: We use the properties of limit and L'Hopital's Rule to find the limit in the given question.

Q: sin(6x) Evaluate: lim 1-oL sin( 4x) A B0 1

A: we have given that limx→0[sin(6x)/sin(4x)]

Q: Prove that, a.) lim X10 b.) lim X O 3x + 1 X+1 sin x X 1 1

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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.