Solving Infinite Limit Homework with Binomials: Step-by-Step Guide

[Asphyxiated]

Homework Statement

$$\lim_{t \to 3^{+}} \frac {y+1}{(y-2)(y-3)}$$

Homework Equations

The Attempt at a Solution

I thought that this problem looked pretty straight forward but i am obviously doing something wrong. What I did was:

multiply the binomials:

$$\lim_{t \to 3^{+}} \frac {y+1}{y^{2}-5y+5}$$

and then apply the limit:

$$\frac {3+1}{3^{2}-15+5} = \frac {4}{-1} = -4$$

but this is WAY off because the answer is suppose to be infinity, so what did I forgot from the lesson?...

 

[Tedjn]

Check your multiplication again.

 

[Asphyxiated]

ha, yep, ok thanks