The value of `(lim)_(x->0)(e^(x^2)-e^x+x)/(1-cos2x)` is a. 1 b. 1/2 c. 1/4 d.1/ 8

The value of (lim)_(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c. 1//e d. -oo

Evaluate: lim_(x->0)(e-(1+x)^(1/x))/x

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

The value of lim_(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

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

The value of lim_(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b) -1 (c) 0 (d) none of these

f(x)=|cos xx1 2sinxx^2 2xtanxx1| . Then value of (lim)_(xvec0)(f(x))/x is equal to 1 b. -1 c. zero d. none of these

The value of lim_(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is 0 (b) -1 (c) 1 (d) 2

Evaluate: ("lim")_(xvec0)(1-cos2x)/(x^2)