`lim_(n->oo)sin(x/2^n)/(x/2^n)`

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Let f(x)= lim_(n->oo)(sinx)^(2n)

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(n->oo)(sin (pix/2))^(2n)

Evaluate the following limit: (lim)_(n->oo)(sin(a/(2^n)))/(sin(b/(2^(n\ ))))

lim_(n->oo)2^(n-1)sin(a/2^n)

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

Evaluate: lim_(n->oo)sin^n((2pin)/(3n+1)),n in Ndot

f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2] , where [.] denotes the greatest integer function, is

Evaluate the following limit: (lim)_(n->oo)2^(n-1)sin(a/(2^n))

The value of lim_(n->oo) n^(1/n)

lim_(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is