To apply the divergence test for Σ „5/4n² n=1 we need to evaluate lim eS/4n?. n→∞ What is the value of the limit?

Q: (2x – x? if 0 sxS2 if 0 sxs2 2 -x if 2 < x<3 x - 2 if 3 <x < 4 if x 24 f(x) =

A: We have to find

Q: Tim (X-1)sec(Tix/z) X -

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Q: Evaluate lim f(x), lim f(x), and lim f(x) at the point a = 5, if the limits exist. (If an answer…

A: Given function : f(x) = 10 -x  if x ≤5 f(x) = x + 3 if x &gt; 5

Q: (a) By using the definition of limit, prove that lim (3x+i z31

A: Introduction: Limits in mathematics are distinct real numbers. Consider a real-valued function "f"…

Q: Let f be a function such that −x^2 < f(x) < x^2 for the interval [−10, 10]. Does the squeeze theorem…

A:

Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.

Q: lim 21/* is no limit 1

A:

Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: Which of the following limits can be evaluated using L'Hôpital's Rule? Зх- 12 A.lim x→4 x2 +16 Зx-12…

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Evaluate the following limits. х* + 3х + 2 lim, 'x-1 v2 x² + 4x +3 a. x² – 2x lim, „2' Vx² +5- 3 b.

A:

Q: For which value of n, does the lim- -ny'+16n = 2 y-2 32-ys

A:

Q: Q1/ (a) By using the definition of limit, prove that lim (3x+iy)=9i. z31

A: Please find the  attachment for the details solution

Q: Q2)valuate the limit: Limit x approach to 2 [sin(pi.x)]/[x^2-x-2]

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Q: Q1 find the limit x' -1 lim x –1

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Q: show that the lim dose not exist x.y-00

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Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False

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Q: Find the limit x-1 lim x>I* Vx +2

A: