Evaluate lim x tends to 0 (9^x+(9^-x) -2)/x^2​

= (ln(9))^2 = 4(ln(3))^2 = 4.8278

Step-by-step explanation:

Using L'hopital Theorem

Defrentiante the numerator and denominator twice each by its self.

like in here :

http://ar.symbolab.com/solver/limit-calculator/%5Clim_%7Bx%5Cto0%7D%5Cleft(%5Cfrac%7B9%5E%7Bx%7D%2B9%5E%7B-x%7D-2%7D%7Bx%5E%7B2%7D%7D%5Cright)

for any other limit calculation use this : http://ar.symbolab.com/solver/limit-calculator/

if you was gonna solve for a, a is a   < -12