Question

Limit

Answer 1

\[\lim_{t \rightarrow 0} [\sqrt{1+t}-\sqrt{1-t}]/t\]

Answer 2

wife needs yogurt, siths got you:)

Answer 3

\[\lim_{t\to0}\frac{\sqrt{1+t}-\sqrt{1-t}}{t}\cdot\frac{\sqrt{1+t}+\sqrt{1-t}}{\sqrt{1+t}+\sqrt{1-t}}\]
See where that takes you.

Answer 4

:)

Answer 5

that's what I did but I keep on getting 0/0

Answer 6

Hmm...
\[\begin{align*}\lim_{t\to0}\frac{(1+t)-(1-t)}{t\left(\sqrt{1+t}+\sqrt{1-t}\right)}&=\lim_{t\to0}\frac{2t}{t\left(\sqrt{1+t}+\sqrt{1-t}\right)}\\&=\lim_{t\to0}\frac{2}{\sqrt{1+t}+\sqrt{1-t}}\end{align*}\]

Answer 7

oh I thought the numerator will turn to 0

Answer 8

my bad I forgot to distribute the negative sign LOL xD