Question

Evaluate the following limit (in order to find a tangent line adjacent to the function). See problem below...

Answer 1

\[\ \Huge Evaluate: lim_{h \rightarrow 0} \frac{\sqrt{1+h} - \sqrt{1}}{h}.\]

Answer 2

multiply by conjugate on top and bottom
\[\frac{\sqrt{1+h}-1}{h}*\frac{\sqrt{1+h}+1}{\sqrt{1+h}+1}\]

Answer 3

Okay so when I do that, @dumbcow, I end up with 1 is that correct?

Answer 4

no...how did you get 1?
FOIL the top

Answer 5

I did

Answer 6

\[(\sqrt{h+1})^{2} +\sqrt{h+1}-\sqrt{h+1} -1 = h\]

Answer 7

1/2 does seem right either...

I got h on the numerator

Answer 8

yes the limit is 1/2