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Find the limits : (a)underset(x to oo)...

Find the limits :
(a)`underset(x to oo)lim ((2x^(2)+3)/(2x^(2)+5))^(8x^(2)+3)`
(b) `underset(x to 0)lim ((1+tan x)/(1+tan x))^(1//sin x)`
(c ) `underset(x to 1)lim (1+sin pi x)^(cot pi x)`
(d) `underset(x to a)lim ((sin x)/(sin a))^(1//(x-a)) (a ne kpi," with k integer")`

Text Solution

Verified by Experts

The correct Answer is:
`(b) 1; (c) 1/e ; (d) e(cot e)`
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