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Differential Calculus> Please solve the ques in the attachment.....

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Please solve the ques in the attachment................................

Pawan joshi , 6 Years ago

Grade 12th pass

1 Answers

Arun

Dear Pawan

lim(x→0) (1^cosec²x+2^cosec²x+...+n^cosec²x)^sin²x
= n^cosec²x^sin²x[(1/n)^cosec²x+(2/n)^cosec²x+....+1]^sin²x
= n[(1/n)^cosec²x+(2/n)^cosec²x+....+1]^sin²x
= n (as r/n ^∞→0)(further as n does not tend to ∞, so we dont have (→0)infinite no. of times. so all the terms can be assumed to be zero)

Hence option D is correct.

Last Activity: 6 Years ago

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