lim x→−12 sqrt(x^2 +25 −13)/x+12

Answer 1

express 9,234, in place value notation:

Answer 2

I will assume you meant the numerator to be
( √(x^2+25) - 13 ) , so

lim ( √(x^2+25) - 13 )/(x+12) , as x-->-12
= lim ( √(x^2+25) - 13 )/(x+12) * ( √(x^2+25) + 13 )/( √(x^2+25) + 13 )

= lim( x^2 + 25 - 169)/( ( √(x^2+25) + 13 )(x-12) )
= lim (x^2 - 144)/( ( √(x^2+25) + 13 )(x-12) )
= lim (x+12)(x-12)/( ( √(x^2+25) + 13 )(x-12) )
= lim (x-12)/( √(x^2+25) + 13 )
= -24/√26
= -12/13