Evaluate : `("lim")_(xvec1)(2/(1-x^2)+1/(x-1))`

The value of ("lim")_(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(p+q)/2 (b) (p q)/2 (c) (p-q)/2 (d) sqrt(p/q)

Evaluate lim_(xto1) ((2)/(1-x^(2))-(1)/(1-x)).

Evaluate: ("Lim")_(x->1)(1-x^2)^(1/(ln(1-x)))

Evaluate: ("lim")_(xvec2a^+)((e^x I n(2^(x-1))-(2^x-1)^xsinx)/(e^(x I nx)))^(1/x)

Evaluate: ("lim")_(xvec1)(sqrt(x)+sqrt(sqrt(x))+sqrt(sqrt(sqrt(x)))+sqrt(sqrt(sqrt(sqrt(x-4)))))/(x-1)

Evaluate ("Lim")_(x->0)(2^x-1)/((1+x)^(1//2)-1) using Lhospitals Rule

Evaluate lim_(xto 1//2) ((4x^(2)-1))/((2x-1)) .

Evaluate lim_(x to 1) (x^3-1)/(x^2-1)

Evaluate lim_(xtooo)(1+2/x)^(x)

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).