Compute the limit of the sequences: (a)(1-\frac{3}{n})^{2n} (b)3^{1/n}

William Collins

William Collins

Answered question

2022-01-04

Compute the limit of the sequences:
(a)(13n)2n
(b)31n

Answer & Explanation

Shawn Kim

Shawn Kim

Beginner2022-01-05Added 25 answers

(a)
(a)(13n)2n
limnd(13n)2n
=limndeln[(13n)2n]
=limnde2n×ln(13n}
=elimnd2n×ln(13n)
=e2limndn×ln(13n)
=elimndln(13n)1n
elimnd(113nx1n2)
e2x{limnd}313n
e2x(3)limnd113n
e6x113n=e6x110
e6×1=e6
(b)
31n
limnd31n
30=1

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