Evaluating limits 1

Question

Find the limit of the function algebraically.

Answer 1

lim          (-7+x)/x^2

x--->0

By using the L'Hospital rule

lim         d/dx (-7+x)/d/dx(x^2)

x--->0

lim        1/2x

x--->0

lim       d/dx(1)/d/dx(2x)

x--->0

lim       0/2

x--->0

=0

Therefore, the limit is 0