Calculus
# Curve Sketching

Evaluate $\displaystyle{\lim_{x \to 1^+} \left (\frac{2}{ x^2 - 1 }+2 \right ) }.$

What are the vertical asymptotes of $y = 3 + \frac{6x}{x^2-25} ?$

What is the number of vertical asymptotes of $y = \frac{5x^2}{x^2-9} + 4 ?$

What is the number of vertical asymptotes of $y = \frac{5x^2}{x^2-25} + 5 ?$