Problem 01 to 05: Finding Limits

Problem
Evaluate the limit of the following.

1. $\displaystyle \lim_{x \to 4} (x^2 + 3x - 5)$
    
2. $\displaystyle \lim_{x \to -1} (2x^2 + x + 4)$
    
3. $\displaystyle \lim_{y \to 3} (y^3 - 2y + 7)$
    
4. $\displaystyle \lim_{y \to -2} (y^3 + 5y - 1)$
    
5. $\displaystyle \lim_{t \to 0} \dfrac{2t^2 + 1}{t^3 + 3t - 4}$
    

Solution