`underset(x to oo)lim (2x+7)/(x^(2)+5x+4)=`

Find the limits : (a) underset(x to oo)lim ((2x^(2)+3)/(2x^(2)+5))^(8x^(2)+3) (b) underset(x to 0)lim ((1+tan x)/(1+tan x))^(1//sin x) (c ) underset(x to 1)lim (1+sin pi x)^(cot pi x) (d) underset(x to a)lim ((sin x)/(sin a))^(1//(x-a)) (a ne kpi," with k integer")

underset(x to oo)lim (cos""2/x)^(x^2)=

underset(x to oo)lim (x^2+5x+6)/(x^2-x-6)

For x in R, underset(x to oo)lim ((x-3)/(x+2))^(x)=

Find underset(x to oo)lim (1+1/x^2)^x

underset(x to oo)lim (-x^(3)+8)/(2x^(2)+5x+7)=

The value of the limit underset(x to oo)lim ((x^(2)-1)/(x^(2)+1))^(x^(2)) equal to