Which of the following limits vanish ? `lim_(x->oo) sinx/x`

Which of the following limits vanish? lim_(x rarr oo)(sin x)/(x)

Which of the following limits vanish (A) Lim it_(x rarr oo)x^((1)/(4))sin((1)/(sqrt(x)))

Which of the following limits vanishes? lim_(x rarr0)((1)/(x)-(1)/(tan x))

Which of the following limit exists finitely? lim_(x rarr0^(+))(x)^(log_(e)x)

Evaluate the following limits : lim_(x to 0)(e^(sinx)-1)/x

Evaluate of the following limit: (lim)_(x->0)(x-sinx)/(x^3)

Ascertain the existence of the following limits : lim_(xto0)(x^(2)sin(1//x))/(sinx )

Evaluate the following limit (lim)_(x->oo)(1+a x)^(1/x)

Evaluate the following limit: (lim)_(x->0)(e^(sinx)-1)/x

Which of the following are true? lim_(x->pi/2+) tan x=oo , lim_(x->pi/2-) tanx=oo , lim_(x->pi/2) tanx=oo , lim_(x->pi/2) tanx=does not exist