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Find the limits (a) underset(x to 0)li...

Find the limits
(a) `underset(x to 0)lim (sqrt(x+4)-2)/(sin 5x)` (b) `underset(x to 1)lim (sin (1-x))/(sqrtx-1)`
(c ) `underset(alpha to pi)lim (sin alpha)/(1-alpha^(2)//pi^(2))`, (d) `underset(x to pi//4) tan 2 x tan (pi//4-x)`,
(e ) `underset(x to pi//3)lim (tan^(3) x-3 tan x)/(cos (x+pi//6)`

Text Solution

Verified by Experts

The correct Answer is:
`(a)1/(20) (b) -2; (c) pi/2 (d) 1/2 (e) -24`
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