For `x in R`, `lim_(xrarroo)((x-3)/(x+2))^x` is equal to (a) `e` (b) `e^(-1)` (c) `e^(-5)` (d) `e^5`

lim_(xrarr0) (a^x-b^x)/(e^x-1) is equal to

lim_(x rarr2)((e^(x)-e^(2))/(x-2))

21. If lim_(xrarroo) e^(x^2) - cosx / (sin^2x) is equal to (a) 3 (b) 3/2 (c) 5/4 (d) 2

lim_(xto0) ((e^x+e^-x-2)/(x^2))^(1//x^2) is equal to

lim_(x rarr oo)x(((x)/(x+1))^(x)-(1)/(e)) is equal to (A) (-1)/(2e) (B) (1)/(2e) (C) (1)/(e) (D) oo

If the domain of the function f(x)= sin^(-1)(log_(2)((x)/(2))) is [a,b], then the value of lim_(x rarr0)(1+ln(a+bx))^(1/x) = is equal to (A) e (B) e^(2) (C) e^(3) (D) e^(4)