`lim {x->0} x^2sin(1/x)cosec x`

Evaluate lim_(x to 0) x^2 sin (1/x) .

Prove that underset (x rarr 0)lim (x^2 sin (1/x))/sin x=0

Evaluate the limits lim_(x to 0) (1+sinx)^(2 cosec x)

Evaluate : lim_(x to 0) (1+sinx)^(2 cosec x)

lim_(x->0)(sin^2x)/x

underset( x rarr 0 ) ( "lim")((1+sin x )/( 1- sin x ))^("cosec x ") is equal to :

Fill in the blanks: lim_(x rarr 0) (1+sin x)^(cosec x) _____.

Which of the following limits does not exist ?(a) lim_(x->oo) cosec^(-1) (x/(x+7) (B) lim_(x->1) sec^(-1) (sin^(-1)x) (C) lim_(x->0^+) x^(1/x) (D) lim_(x->0) (tan(pi/8+x))^(cotx)

lim_(x rarr0)(x^(2)sin(1/x))/(sin x)

lim_(x rarr 0) (x^(2) sin (1//x))/(sin x) is :