Compute lim x-T sinx

Q: / Find Lim X. tan' 2 X X-100

A:

Q: CSC X lim (secx t tans scx

A: To find the limit by using L-hospital rule L-hospital rule is  For limit(x tends to a) f(x)/g(x)…

Q: Evaluate limx-->0 (sin 2x sin 9x)/(x^2) Without using L'Hospital's rule.

A: The given function is limx-->0 (sin 2x sin 9x)/(x^2)Use the expansion for sin x to simplify (sin…

Q: Evaluate lim x-0 sin x

A: The given limit is: Since, when

Q: Find lim(2 – x)tan(r2/2)

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Q: show that : Limx→0    1/ (x – 1) + 1/( x + 1)  ) /x = −2

A: apply the concept of limit to prove the given problem.

Q: 2) Show that sinax _a lim x-0 tanbx b %3D

A: Show that  limx→0sinaxtanbx

Q: -1 lim tan(In x)

A:

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

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: Compute sin ax lim z0 sin bæ

A: L’Hospital’s Rule : Suppose limx→af(x)g(x) = 00  or  limx→af(x)g(x) = ±∞±∞ where a can be any real…

Q: Evaluate using substitution.

A: To evaluate, limx→0tan-1ex

Q: Evaluate lim tan x - sin x sin³

A:

Q: Compute limx→∞ xe^−x

A: We have to evaluate the limit of the given function as: limx→∞xe-x This can be written as limx→∞xex…

Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

Q: find limx->2 X-2 tanQ. Sin O 9) tan a-sin o-tanQ. Sin

A: To find the solution of given equations

Q: Calculate the limit limx→π/2(tanx)cosx.

A: We have to evaluate limx→π2tanxcosx We know that tanπ2 is not defined. Therefore, we will simplify…

Q: coshx Find lim. et

A: Coshx can be  written in terms of exponential as : Coshx = ex+e-x2

Q: Prove limx→∞(1/x)=0

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Q: Find lim Sin (X+2) X->2 x4x-2

A: Explained below

Q: Evalate lim sintsx)-tan ($x)

A:

Q: Show that lim [x2 sin (1/x)] = 0.

A: Given: limx→0x2sin1x

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: Find limit sinax lim x→0 sinbx

A:

Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find lim tanx-x x2 sinx X

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Q: Find the limit: (а) lim tan 3x x2 sin27x

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Q: Evaluate limx=0+ e(1/x)

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

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Q: 25. - lim (tan x)*om

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Q: Evaluate * lim (2 – x)tan | x→1 O Option 1 O Option 2

A:

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

A: Solution is given below..

Q: O lim tan(Vx) x² – x x→0+

A:

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: Lim (Ln x) L'Haspital Hos

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Q: - lim SinTX メー→ メ ー」

A: We need to evaluate limx→ 1sinπxx-1.

Q: lim x in (It -)

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Q: (1 1 Calculate lim X-+ x sinx

A: Find the limit

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

A:

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: Evaluate lim⁡ x→0 sin ⁡x−x/tan x−x

A:

Q: Evaluate lim→» V3 - cos x

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Q: -tan X SinX-CosX Lim

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Q: lim as x→0 of sin(x4 )/x

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Q: Evaluate: lim,2 (x – 2) (cot rx). - O 1

A: We have to find the limit of a given function as x approaches 2. Rewrite given function as

Q: Evaluate L = limx→∞  (X2 sin(1/x)

A: We have Let's first try to use direct substitution   We can use the L'Hospital rule if our limit…

Q: Compute lim [xe'

A: Given function is,