lim e^(sin(2022n)), as n goes to infinite, should this limit exist or not?

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 > 5

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the limit: x->0  2 sin2 3x / 3x2

A:

Q: O O The limT(x-1) [(x^3 e^(1-x)--4 * sinTtx) ] =1 a. True b. False

A:

Q: Find limit x appraoaches 0 log 10  ( tan2  x )

A: The given function is It can be written as Now, find the limit of the function when x approaches…

Q: Show that lim [((-1)^n ∙ n)/(n^2 + 1)] = 0

A:

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

A: Please see the below picture for detailed solution.

Q: Consider lim e-. a) lim 4x - x² = 0 b) If we let t = 4x - , then we can rewrite the limit as lim of

A:

Q: lim as x-->0  of (x+1-cosx)/x

A: The given limit of the function:

Q: In (1+x)-x lim- 1- cos x x-0

A:

Q: Q/calculate limit statement lim 1-sinx X→ 1/1/20 X2502-1

A: It is not a limit questions we don't have check a+ and a- limit we have to put directly limit

Q: Evaluate limit x appraoaches 2+  arctan (  1/ (x-2))

A: limx→2+arctan1x-2

Q: Find  limit x 0  1/x^2if it exists.

A: We find the limit numerically

Q: Evalute the limit of lim x->0 (tan 7x)/(sin 8x

A: Rule of Limitlimx→0 tan x x = 1limx→0 Sin x x = 1

Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

A:

Q: 6ln (1+x) lim х>0 2е3х—2secx

A:

Q: please according to this definition, calculate these  two lim, when (a) An=(- n^1, 1 + n^(-1)) (b)…

A: (a) Given sequence is An=-n,1+1n. Therefore limit supremum can be calculated as:…

Q: 2 Q5/ Solve Lim,1 (; ;). x2-1 x4-1

A:

Q: Find the asymptotes of:F(x) = x^4−16/x^2 − 2x

A:

Q: what is the limit as x goes to infinity of (1-(4/7)^x)/(7-4(4/7)^x)?

A: Given function is