Math, asked by mariarosev002, 5 months ago

integral of dx/e^x+e^-x​

Answers

Answered by umeshnirmal04
2

Answer:

Let S=1+2a+3a

2

+4a

3

+

n−1

Multiply both sides by a, we get

Sa=0+a+2a

2

+3a

3

n−1

+na

n

Subtract both equations,

S(1−a)=1+a+a

2

+a

3

n−1

−na

n

Clearly above series is G.P

Common ratio =a

S(1−a)=

a−1

1(a

n

−1)

−na

n

S=

(a−1)

2

1−(a

n

)

1−a

na

n

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