## anonymous 4 years ago Find the limit as t tends to ZERO from the RIGHT. lim 21sqrt(t) / t t->0+

1. anonymous

2. myininaya

$\lim_{t \rightarrow 0^+}\frac{21 \sqrt{t}}{t} \cdot \frac{\sqrt{t}}{\sqrt{t}}=\lim_{t \rightarrow 0^+}\frac{21(t)}{t \sqrt{t}}=\lim_{t \rightarrow 0^+}\frac{21}{\sqrt{t}}$ Does not exist To be more exact if approaches positive infinity

3. myininaya

it*

4. anonymous

so any time i see a square root with a zero inside, the answer will be infinity or DNE?

5. anonymous

$\sqrt{t}$ is in the denominator, so as numbers get closer and closer to 0, the limit approaches infinity