Compute the following limit:  Lim as x approaches 0 (Sin(x)-cosxsinx)/(x^2)

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

A:

Q: Let f be the function given by f(x) = (x² – 2x – 1)e*. Find lim f(x) and lim f(x).

A: We need to eliminate (if possible) then apply limits

Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

Q: Let f(x) = x² + 9, x > 0. Find lim f'(x) →25

A: f(x)=x2+9

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

A: Please see the below picture for detailed solution.

Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: Find the limits sin (sinx) lim

A: limx→0sinsinxx

Q: Use L'Hopital's rule to evaluate lim(1 – 2 sinh(x)) sch(a).

A:

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

A: Given :          limx→0tanx-xx3

Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

A: Given function f(x)=(x+ sin (x))/(1+x+ cos (x)) Now we will evaluate limit of f(X) as X tends to 1…

Q: lim

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Q: Find lim x+x:

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Q: Find the limits lim x→1- sin-1x

A:

Q: Evaluate the following: Lim(x to 0) (1+x-cosx-sinx)/(x+cosx-sinx-1)

A: This question is related to limit.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.