Evaluate `underset(xto1)lim((2)/(1-x^(2))-(1)/(1-x)).`

Evaluate underset(xto3)"lim"((x^(2)-9))/((x-3))

Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

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

Evaluate underset(xto0)lim(1-cosmx)/(1-cosnx).

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

6. lim_(xto1)(1-x^2)^(1/log(1-x))

f(x)= |{:(cos x,,x,,1),(2sin x ,,x^(2),,2x),(tanx ,, x,,1):}| then find the value of underset(xto 0)(" lim ") (f(x))/(x)

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

The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "