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lim(n→∞) (1/n^2 sec^2(1/n^2) + 2/n^2sec^2 (4/n^2) + ... + 1/n^2sec^2(n^2/n^2)) is equal to

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lim(n→∞) (1/n2 sec2(1/n2) + 2/n2sec2 (4/n2) + ... + 1/n2sec2(n2/n2)) is equal to

(a) 1/2 tan(1)

(b) tan (1) – log(sec1)

(c) 1/2 cosec (1)

(d) 1/2 sec (1)

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1 Answer

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Best answer

Correct option (b) tan (1) – log(sec1)

Explanation:

We have

= x tanx|01 – (logsec x)|01

= tan(1) – log (sec1)

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