Question

Find the limit as t tends to ZERO from the RIGHT.

lim 21sqrt(t) / t
t->0+

Answer 1

21 is NOT the answer

Answer 2

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

Answer 3

it*

Answer 4

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

Answer 5

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