п2-2n+1 a. an = %3D п-1 (1 -5 n+1 b. аn 2n n'

Q: lim ("V52"-1 52n-1

A: F

Q: 3n²+ 2n 32 (a) n² - 11 (b) (7) Hint: 4" = (2¹)²

A:

Q: c) an = (-2)"

A:

Q: Consider the sequence a. Write out the first five terms of the sequence. a1 = a2 = a3 = a4= a5 = 9.…

A: here we have to check whether the sequence is convergent or not.

Q: If the sequence of functions {f} converges in measure to two functions f(x) and g(x), then these…

A:

Q: Suppose an is a sequence which converges to a real number L. Suppose also that K is a real number…

A: Given that sequence (an) converges to real number L.a If an ⩾ K for all n∈ ℕ then L, whether L⩾Kb If…

Q: If the following sequence converges, find its limit. If the sequence diverges, enter Ø. + 2 n 2

A: The sequence is

Q: Using each time the appropriate definition of limit, determine the following limits. (Observe that…

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Q: If a sub 1=1 and a sub (n+1)=3 - 1/a sub n, what is the limit of a sub n as n approaches infinity

A: Limit

Q: Find the limit of the sequence or determine that the limit does not exist. Inn 6) an does not exist…

A: First we can observe that n1n→1 , as n →∞ since ,n1n=eln(n)n and ln(n)n→0 , as n→∞

Q: Find the integral. (3x+2)²dx (3x + 2)dx (Hint: Expand first.)

A: Given data

Q: an + an-1 An+1 Vn +1 (a) Find the limit of an as n → ∞ and give a proof. converges for a,n from part…

A: Given, an+1=an+an-1n+1 the sequence is all positive number. (a) we need to find the limit of an as…

Q: 2. Find the limit of the following sequences. a) {314

A:

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: Find an example of the function such that the limit exists at every x, but has an infinite number of…

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Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

A:

Q: Problem 1. Let (.} and (M} be sequences such that: a) . S for all n; b) {z,} is increasing; e) {v.}…

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Q: Finel Sequence s+ aj sove both limits .

A: Take a sequence, aj=-j2j is rational0j is irrational Then the limit for j rational is,…

Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: Find: f 4t Vi + dt =

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Q: If the sequence of functions {f} converges in measure to two functions f(x) and g(x), then these…

A: