은 hzl 3n+2 2n+3 h

Q: Convergent Sequence If a1=√5, a2=fourth of √5 raise to 3, a3=eighth of √5 raise to 7, a4=sixteenth…

A:

Q: 2 sin x+1 dr 3 -dx +1

A:

Q: Converger divers ges or

A:

Q: 1 dx (ӕ—1)° 3 2.

A: The given integral is; 1/(x-1)3 limit from 2 to infinity.

Q: +0o 4 + cos?n 3n – Vn n=1

A:

Q: 3+ cos? n Σ en n=1 2.

A: We have given series ∑n=1∞3+cos2nen Let another series ∑n=1∞4en Then, 3+cos2nen≤4en Therefore, if…

Q: n? + 2h h = 1

A:

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: convergent Point wise convergent but not

A: Fact (1) If a  sequence of continuous function fn  is uniformly convergent to f then f is continuous…

Q: Choose the correct option in each of the statements below. 00 For any a>0, the series > [ Select )…

A: According to the ratio test evaluate the value oflimn→∞an+1an   let sn=1n3+a Then   sn=1n+13+a…

Q: is it divergent, convergent or absolutely convergent?

A: We have given a series ,  ∑k=0∞ sin2k+1π2 k3k+1! Here , sin2k + 1π2 = sinkπ + π2 sin2k + 1π2  =…

Q: if it is convergent, find its sum.

A: The given geometric series can be written as The first term of series is and common ratio is…

Q: +00 1 Σ n=3 n · . Inn - +00 Σ m=1 3η5 + cos2 n – 1 4m? – 15 + π

A: The given problem is to determine the given series is convergent or divergent using convergence…

Q: 6n2. 1. { en 2. {(-1)" (п+1)!, 3n!

A:

Q: etermine whether the serres Converges 12 Live age or duer 1- onditionally absoutely 3ntl

A:

Q: Converges absolutely Burame

A:

Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…