Find `("lim")_(xvec0){tan(pi/4+x)}^(1//x)`

Find lim_( x to 0) { tan (pi/4 + x)}^(1//x) .

(lim)_(x->0)[tan(pi/4+x)]^(1/x)

lim_(x rarr 0)tan(pi/4+x)^(1/x)=

Evaluate lim_(xto0){tan((pi)/4+x)}^(1/x)

The value of lim_(xrarr0){tan((pi)/(4)+x)}^(1//x) , is

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

The value of the limit ("lim")_(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sqrt(x))+a^(1sqrt(x))),a >1,i s 4 (b) 2 (c) -1 (d) 0

If lim_(x rarr0)((tan((pi)/(4)+x))^((1)/(x))-e^(2))/(x^(2)) is equal to ((p)/(q))e^(2),(pq varepsilon N), then find minimum value of(p+q)

Which of the following is and determinate form (lim)_(xvec1)(x^3-1)/(x-1) b. (lim)_(xvec0)(1+x)^(1//x) c. (lim)_(xvec1)(1/(x^2-1)-1/(x-1)) d. (lim)_(xvec0)(|x|)^(s in R)