I have 2 problems I need help with:
I don't understand the answer to number 1 and I don't understand what method to use with number 2. Some help would be very much appreciated.
.1.
lim (1 + h)^2 - 1^2
h →0 _____________
h
lim ( 1 + 2h + h^2 - 1)
h →0 ________________
h
lim 2h + h^2
h →0 ________
h
lim h ( 2 + h)
h →0 ____________
h
lim 2 + h = 2
h →0
lim √x - 2
h → 4 ________ we can factor the denominator as
x - 4
lim √x - 2
h → 4 ___________
(√ x - 2) (√x + 2)
lim 1 1 1 1
h → 4 _______ = _______ = _______ = ___
√x + 2 √4 + 2 2 + 2 4