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

Find the limits :
(a) `underset(x to oo)lim ((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))`
(b) `underset( x to +oo) lim (sqrt(9x^(2)+1)-3x)`
(c ) `underset(x to 1)lim (2sqrt(x+3) root3(x+5) root5(x))/(sqrt(3x-2)+root3(2x-3))`,
(d) `underset(x to oo)lim (sqrt(2x^(2)-3-5x))`
(e) `underset(x to +oo)lim x(sqrt(x^(2)+1-x),`
(f) `underset(x to +oo)lim (sqrt(2x^(2)+3))/(4x+2) and underset(x to oo)lim sqrt(2x^(2)+3)/(4x+2)`
(g) `underset(x to oo) lim 5^(2x//(x+3))`

Text Solution

Verified by Experts

The correct Answer is:
(e) `1/2`
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