`lim_(x->0) [tanx/x]^(1/x^2)`

Evaluate : lim_(x rarr 0)(tanx/x)^(1/x)

lim_(xrarr0) (tanx-x)/(x^(2)tanx) =?

Let f:(-pi/2, pi/2)->R, f(x) ={lim_(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(tanx)^(2n)) x in 0 , n in N; 1 if x=0 which of the following holds good?

lim_(x->0) (x^2-3x+1)/(x-1)

lim_(xrarr0)(tanx-x)/(x^2tanx) equals

lim_(x to 0) (sinx-tanx)/(x) equal to?

Evaluate : lim_( x -> 0 ) ( x/tanx )

What is lim_(x to 0) (tanx)/(sin2x) equal to?

Evaluate : lim_( x -> 0 ) ( tanx - x ) / ( x - sinx )