Find the limits of the following sequences. 1) cos((2n+1)pi/2)_(n=1)^infty 2) ((pi^n)/e^(2n+1))^infty

Yulia

Yulia

Answered question

2021-08-15

Find the limits of the following sequences.
1) cos((2n+1)π2)n=1
2) πne2n+1

Answer & Explanation

brawnyN

brawnyN

Skilled2021-08-16Added 91 answers

1)
={cos3π2, cos5π2, cos7π2,}
={0,0,0,0,}
limncos(2n+1)π2=0

2) limnπne2n+1=limnπn(e2)ne=1elimn(πe2)n=0
limnπne2n+1=0
Since π<e2

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-23Added 2605 answers

Answer is given below (on video)

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