`5sqrt(x^(-5))+(a)^(x)+5`

lim_(xrarr5)(sqrt(x+5)-sqrt(x-5))/(x+5) is equal to

If 4^x-\ 4^(x-1)=24 , then (2x)^x equals (a) 5sqrt(5) (b) sqrt(5) (c) 25sqrt(5) (d) 125

lim_(x rarr 5) (sqrt(x)-sqrt(5))/(x-5)= _______.

In the following,determine whether the given quadratic equations have real roots and if so, find the roots 3x^(2)+2sqrt(5)x-5=0 (ii) x^(2)+5x+5=0

Number of non-zero terms in the exapansion of (5sqrt(5)x+sqrt(7))^(6)+(5sqrt(5)x-sqrt(7))^(6) is __________

(3x+sqrt(9x^(2)-5))/(3x-sqrt(9x^(2)-5))=5

sqrt(3+x)+sqrt(3-x)sqrt(3+x)-sqrt(3-x)(5)/(7)( b) (7)/(5)(c)(5)/(12) (d) (12)/(5)

if y=sqrt(5^(x)+sqrt(5^(x)+sqrt(5^(x))............*oo)) then prove that (2y-1)(dy)/(dx)=5^(x)log5