The value of `lim_(x->1) (x^(p+1)-px+p)/(x-1)^2` equals

The value of lim_(x to 0) ((1)/(x^(2)) - cot x) equals

The value of lim_(x to 0) ((1)/(x^(2)) - cot x) equals

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

The value of lim_(xrarroo) x^(1//x) equals

The value of lim_(xrarroo) x^(1//x) equals

The value of lim_(x to 1) ((p)/(1-x^(p))-(q)/(1-xq)),p,q,inN, equals

The value of lim_(x to1)(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)

The value of lim_(x to1)(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)