Question

Evaluate :-
Lim ( x -> a ) [ x²-a²/x-a]

Answer 1

Heya...


lim(x -> a) [ (x+a) (x-a) / (x-a)]

= lim (x -> a) [x + a]

applying limits,

= a + a = 2a.

-WonderGirl

Answer 2

$\lim_{x \to a} \frac { x^2 - a^2} {x-a}$

= $\lim_{x \to a} \frac { (x+ a)(x-a) } {x-a}$

= $\lim_{x \to a} (x+a)$

= a + a

= 2a