Limit Problem

[mop969]

What are the steps to find the limit of this problem?


limit as t approaches 0 of:

(1/t) - (1/(t^2+t))

 

[galactus]

$\displaystyle \lim_{t\to 0}\left[\frac{1}{t}-\frac{1}{t^{2}+t}\right]=\frac{1}{t}-\frac{1}{t(t+1)}=\frac{(t+1)}{(t+1)}\cdot \frac{1}{t}-\frac{1}{t(t+1)}=\frac{1}{t+1}$


Now, we merely have $\displaystyle \lim_{t\to 0}\frac{1}{t+1}$

Can you see what the limit is now?. Since the function is continuous, just sub in x=0.

 

[Aladdin]

Since the function is continuous, just sub in x=0.

I'm sure it's a quick mistake , just substitute in t=0 :wink: