Let Xn=nn for n EN * Show that Xn+₁

Q: Evaluate the following limit. lim t to infinite ((2e^-t)i-(5t/t+7)j+(tan^-1t)k

A: The given vector has three components: 2e^-t, -5t/(t+7), and tan^-1(t). We will evaluate the limit…

Q: limit as n approaches +infinity of (n/(e)^n)

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Q: for part 2) why are the limits on the integral 10 as the lower bound and 20 as the upper bound? does…

A: The probability density function of t is f(t)=.     for 10<t<200.                  OtherwiseWe…

Q: Find the limit of  limitx->0= x2+4,

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Q: 2.3 Q14

A: The objective of this question is to find the limit of the function f(x) as x approaches 2, given…

Q: Show that lim n->∞ (1 + x/n)^ n = e^x for any x

A: Express (1+ x/n)^n using e in the base

Q: Evaluate the lim h->0 (f'(5+h)-f'(5))/h

A: Given limit is : limh→0f'5+h-f5h To find the value of the limit.

Q: Calculate ?′(7) using the limit definition if ?(?) = ?^2 + 3? − 4.

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

A: We find the limit numerically

Q: if x ‡ 4; if x = 4. Find limx→4 f(x) where ƒ is given above, show all of your work. 10. Let f(x) = {…

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Q: n2 for all n E N. 4n Let r, :=

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