`Lim _(x rarr infty)xsin(a/x)`

lim_(x rarr0)[sin x]

lim_(x rarr0)xsin (1/x)+cos(1/x)

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

lim_(n rarr infty) sum_(k=1)^(n) (n)/(n^(2)+k^(2)x^(2)),x gt 0 is equal to

For a in R^(+) such that lim_(x rarr0)(1-cos ax)/(x^(2))=lim_(x rarr pi)(sin x)/(pi-x) then a=

For a in R^(+) such that lim_(x rarr0)(1-cos ax)/(x^(2))=lim_(x rarr pi)(sin x)/(pi-x) then the value of a is