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

If m,n inN,lim_(xto0) (sinx^(n))/((sinx)^(m)) is

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

m,n,in1^(+), then lim_(x rarr0)(sin x^(n))/((sin x)^(m)) equals

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to

lim_(x rarr0)(sin x^(n))/((sin x)^(m)),(m

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

If l =lim_(xrarr0) (tanx^(n))/((tanx)^m) , where m,n in N , then

Column I ([.] denotes the greatest integer function), Column II ""("lim")_(xvec0)([100(sinx)/x]+[100(tanx)/x]) , p. 198 ("lim")_(xvec0)([100 x/(sinx)]+[100(tanx)/x]) , q. 199 ("lim")_(xvec0)([100(sin^(-1)x)/x]+[100(tan^(-1)x)/x]) , r. 200 ("lim")_(xvec0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x]) , s. 201

The value of ("lim")_(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s 0 (b) 1 (c) 2 (d) 3