Consider `f(x) = lim_(x-oo)(x^n-sinx^n)/(x^n+sinx^n)`for`x>0,x!=1,f(1)=0` then

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

Letf(x) = lim_( n to oo) (x^(n)-sin x^(n))/(x^(n)+sin x^(n)) " for" xgt 0, x ne 1,and f(1)=0 Discuss the continuity at x=1.

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then

If f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)) then

The equivalent definition of the function f(x)=lim_(n to oo)(x^(n)-x^(-n))/(x^(n)+x^(-n)), x gt 0 , is

The equivalent definition of the function f(x)=lim_(n to oo)(x^(n)-x^(-n))/(x^(n)+x^(-n)), x gt 0 , is

f(x)=(x+1)(x+2)(x+2^(2))+...+(x+2^(n-1)) and g(x)=lim_(n rarr oo)((f(x+(1)/(n)))/(f(x)))^(n) if f(x)!=0=0 if f(x)=0 then g(0)=