`lim_(x->0)((1^x+2^x+...........+n^x)/n)^(1/x)` is equal to

lim_(xto0) (1)/(x)cos^(1)((1-x^(2))/(1+x^2)) is equal to

If lim_(xto0)(f(x))/(sin^(2)x)=8,lim_(xto0)(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(x to 0)(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" lim_(x to 0)(1+f(x))^((1)/(2g(x))) is equal to

lim_(ntooo) n^(2)(x^(1//n)-x^(1//(n+1))),xgt0, is equal to

f(n)=lim_(x->0){(1+sin(x/2))(1+sin(x/2^2)).......(1+sin(x/2^n))}^(1/x) then find lim_(n->oo)f(n)

lim_(xto0)((1+2x)^(10)-1)/(x) is equal to

("lim")_(n->oo)sum_(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (c) 19 (d) 20

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(xrarr0) (1)/(x^(2))|(1-cos3x,log_(e)(1+4x)),(sin^(-1)(x^(x)-),tan^(-1)(2x))| is equal to

' lim_ (x to 0) (a^(x)-b^(x))/(e^(x)-1) is equal to

("lim")_(xvec0)(sin(x^2))/(1n(cos(2x^2-x)))is equal to 2 (b) -2 (c) 1 (d) -1