Limits (intro) Knowledge-Based Download PDF

Questions

1. 1.

   What is the value of the limit $\lim_{x \to 1} \frac{x^3 - 1}{x^2 + 2x - 3}$?

   • A) $\frac{3}{4}$
   • B) $\frac{1}{4}$
   • C) $1$
   • D) $\frac{3}{2}$
2. 2.

   What is the value of the one-sided limit $\lim_{x \to 3^-} \frac{|x - 3|}{x^2 - 9}$?

   • A) $\frac{1}{6}$
   • B) $0$
   • C) $-6$
   • D) $-\frac{1}{6}$
3. 3.

   What is the value of the limit $\lim_{x \to 2} \frac{\frac{1}{x+1} - \frac{1}{3}}{x - 2}$?

   • A) $\frac{1}{9}$
   • B) $-\frac{1}{3}$
   • C) $0$
   • D) $-\frac{1}{9}$
4. 4.

   What is the value of $\lim_{x \to 0} \frac{\sqrt{x+9} - 3}{x}$?

   • A) 0
   • B) $\frac{1}{6}$
   • C) $\frac{1}{3}$
   • D) Does not exist
5. 5.

   What is the value of $\lim_{x \to 3} \frac{2x^2 - 5x - 3}{x - 3}$?

   • A) 0
   • B) 5
   • C) 7
   • D) Does not exist