💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# Evaluate the limit, if it exists.$\displaystyle \lim_{t \to 0}\left( \frac{1}{t} - \frac{1}{t^2 + t} \right)$

## 1

Limits

Derivatives

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

to find the limit of one over t minus one over t squared plus T as T approaches zero. We first write this into to limit as T approaches zero of one over t minus one over T. Time. Sleepless one. And then from here we can combine the two fractions and we have the limit as T approaches zero of we have a common denominator of tee times deepest one, and the first term of the numerator would be T plus one this minus one. And then simplifying this. We have limit S. T approaches zero of T over tee times T plus one. And here we can cancel out the tea and we have the limit as T approaches zero of one over T plus one. And so evaluating this limit we have 1/0 plus one or that's 1/1 equal to one. Therefore this is the limit value.

Other Schools

Limits

Derivatives

Lectures

Join Bootcamp