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Find the limits: (a) underset(x to 1)l...

Find the limits:
(a) `underset(x to 1)lim (2x-2)/(root3(26+x)-3):`
(b) `underset(x to -1) (x+1)/(root4(x+17)-2)`
(c ) `underset(x to -1)lim "(1+root3(x))/(1+root5(x))`
(d) `underset(x to 0)lim (rootk(1+x)-1)/(x)` (k positive integer)
(e) `underset(x to pi//6)lim (sin (x-pi//6))/(sqrt3-2 cos x)`
`(f) underset(x to pi//2)lim (cos x)/(root3(1-sinx)^(2))`
(g) `underset(x to pi//6)lim (2sin^(2)x+sin x-1)/(2 sin^(2) x-3sin x+1)`

Text Solution

Verified by Experts

The correct Answer is:
`(b) 32. (c) 5/3`.
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