+0

# Need some help finding Limits

0
408
2
+55

I have 2 problems I need help with:

1. $$\lim_{h\rightarrow 0}\frac{(1+h)^2-1^2}{h}$$
2. $$\lim_{x\rightarrow 4}\frac{\sqrt(x)-2}{x-4}$$

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.

Apr 30, 2018

#1
+111321
+2

.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

Apr 30, 2018
#2
+12188
+2

I have 2 problems I need help with:

Apr 30, 2018
edited by Omi67  Apr 30, 2018
edited by Omi67  Apr 30, 2018