lim (x rarr 0^+ ) sqrtx/(sqrt(4-sqrtx ) ...

`lim (x rarr 0^+ ) sqrtx/(sqrt(4-sqrtx ) - sqrtx)`

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sqrtx + 1/sqrtx

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1/(sqrt(x+1) - sqrtx)

lim_(x rarr oo) [sqrtx/sqrt(x+sqrt(x+sqrtx))]

The value of lim_(xrarr infty) [sqrt(x+sqrt(x+sqrtx))-(sqrtx)] is

lim_(x rarr oo) (sqrt(x+1)-sqrtx)sqrtx

lim_(xrarroo)(sqrt(x+sqrtx)-sqrtx) is

1/sqrtx (sqrtx+1/sqrtx)^2

int(sqrt(1+sqrtx))/(sqrtx)dx=

(sin sqrtx)/(sqrtx).

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