`("lim")_(xvec0)(sinx^n)/((sinx)^m),(m

If m , n in N ,("lim")_(xvec0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b) 0, if n>m

If m , n in N ,("lim")_(xvec0)(sinx^m)/((sinx)^m)i s 1,ifn=m (b) 0,ifn > m oo,ifn

prove that, If m , n in N ,("lim")_(xto0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b) 0, if n>m

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

lim_(xrarr0) (sinx^n)/((sinx)^m), (mltn) is equal to

lim_(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n//m (d) none of these

lim_(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n//m (d) none of these

Evaluate the limit: ("lim")_(xvec0)(sina x)/(sinb x)

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) (c) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x