`underset(n→∞)lim1/2+1/2^(2)+1/2^(3)+...+1/2^(n)`

underset(n to oo)lim ((n^(2)-n+1)/(n^(2)-n-1))^(n(n-1))

Find underset(n to oo)lim ((2n^(3))/(2n^(2)+3)+(1-5n^(2))/(5n+1))

underset(n to oo)lim {1/(1-n^(2))+(2)/(1-n^(2))+....+(n)/(1-n^(2))} is equal to

Evaluate : underset(x to 1)(lim) ((x+x^(2) + x^(3) +……….+x^(n)) -n)/(x-1)

Find underset( n rarr oo )("lim") ( ( 2 n^(3))/( 2n^(2) + 3)- ( 1+ 5n^(2) )/( 5n + 1))

lim _(n to oo) ( 1/(n^(2)+1^(2)) + 1/(n^(2)+2^(2)) +...1/(2n^(2))) equals

Let f(x) = underset(n rarr oo)("Lim")( 2x^(2n) sin""(1)/(x) +x)/(1+x^(2n)) then find underset( x rarr -oo)("Lim") f(x)

Value of underset(ntoinfty)(lim)((n+1)^(1//3)+(n+2)^(1//3)+…+(2n)^(1//3))/(n^(4//3)) is equal to