Question

lim ((sqrt(1+h))-1)/h as h goes to 0

Answer 1

The limit is 0

Answer 2

i got -1/2

Answer 3

Many times you can just plug the "goes to" number into the formula and that will give you the answer. This is one of the cases where that will work. So if you plug 0 in for h, you get
\[\sqrt{1-0}-1\]
\[\sqrt{1}-1\]
1-1
0

Answer 4

multiply top and bottom by conjugate (1+h)^(2) + 1

Answer 5

then try to solve

Answer 6

sorry... the radicand should have been 1+h... but you still get the same result

Answer 7

u cant just plug 0 into the problem beuase u cant have 0 as the denominator

Answer 8

((sqrt(1+h))-1)/h

((1+h)^(1/2) - 1)((1+h)^(1/2) + 1)/h((1+h)^(1/2) + 1)
=
(1 + h - 1)/h((1+h)^(1/2) + 1)
=
lim 1/((1+h)^(1/2) + 1)
x-> 0
1/1+1
= 1/2

Answer 9

right... I misread the problem... I didn't see the denominator
your answer is correct

Answer 10

i did

Answer 11

where is the negative coming from oh yeah lol didnt see your answer my brain is turned off

Answer 12

thanks

Answer 13

so it is -1/2?

Answer 14

yes, -1/2 is right