The limit evaluation discussed is for the expression \(\lim_{t\rightarrow3} \frac{(t+1)^2}{(t^2+1)}\). The original confusion stemmed from the inability to factor the denominator \(t^2 + 1\) as one could with \(t^2 - 1\). However, the solution can be directly evaluated by substituting \(t = 3\) into the expression, leading to a definitive answer without the need for factorization.
PREREQUISITESStudents studying calculus, particularly those focusing on limit evaluation techniques, as well as educators seeking to clarify concepts related to polynomial limits.
Here's you limit.gtfitzpatrick said:Homework Statement
[itex]\lim_{x\rightarrow3} \stackrel{(t+1)^2}{(t^2+1)}[/itex]
Homework Equations
The Attempt at a Solution
if the bottom was t^2 - 1 i could factorise and cancel but when its t^2+1 I am not sure how to go...