AP EAPCET 05-Jul-2022 Shift 1 Paper

Section: Mathematics

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Question : 77 of 160

Marks: +1, -0

lim

n→∞

[‌

n

(n+1)√2n+1

+‌

n

(n+2)√2(2n+2)

+‌

n

(n+3)√3(2n+3)

+⋯nterms]=

1

∫

0

f(x)dx

then f(x)=

‌
1
(1+x)√x2+2x
‌
1
(1+x)√x+2
‌
1
(1+x)√x2+x+1
‌
1
(1+x)√x2−2x

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