Evaluate each of the following limits. Be sure to show all of your work using methods (algebra, limit properties, and/or logic). If the limit does not exist, show why.

Question

Answer 1

use l'hopital's rule

take the derivative of the numerator

and divide it by the derivative of the denominator

then plug in y=0

to get the limit = -21

f(y) = -7y/[sqr(2y+9)-3]

g'(-7y)/h'[sqr(2y+9)-3)

=-7/(2y+9)^-1/2

= -7(2y+9)^(1/2)

plug in y=0

=-7(0+9)^(1/2)

=-7(9)^1/2

=-7(3)

=-21

Answer 2

Nice little algebraic approach to the limit problem.