` lim _(x to n ) (-1)^([x])=`

Evaluate the following limits : Lim_(x to 0 ) (x^(n)-1)/(x-1)

Let f : R to R be a real function. The function f is double differentiable. If there exists ninN and p in R such that lim_(x to oo)x^(n)f(x)=p and there exists lim_(x to oo)x^(n+1)f(x) , then lim_(x to oo)x^(n+1)f'(x) is equal to

Let f : R to R be a real function. The function f is double differentiable. If there exists ninN and p in R such that lim_(x to oo)x^(n)f(x)=p and there exists lim_(x to oo)x^(n+1)f(x) , then lim_(x to oo)x^(n+1)f'(x) is equal to

Let f : R toR " be a real function. The function "f" is double differentiable. If there exists "ninN" and "p inR" such that "lim_(x to oo)x^(n)f(x)=p" and there exists "lim_(x to oo)x^(n+1)f(x), "then" lim_(x to oo)x^(n+1)f'(x) is equal to

Evaluate lim_(x to 0) (1 - x^(n) - 1)/(x)

Let f : R toR " be a real function. The function "f" is double differentiable. If there exists "ninN" and "p inR" such that "lim_(xto oo)x^(n)f(x)=p" and there exists "lim_(x to oo)x^(n+1)f(x), "then" lim_(x to oo) x^(n+2)f''(x) is equal to

Evaluate the following limits . Lim_(x to 0 ) ((1+x)^(n)-1)/x

Evaluate : lim_(x to 1) (x^(m)-1)/(x^(n)-1)

Evaluate : lim_( x -> 0 )( ( 1-x ) ^( 1/n ) -1) /x =