Limits on Graphs

Printable PDF and Answer Key Link to PDF of this Page

Lesson

Practice Problems

Graph for Questions 1-4

\(\textbf{1)}\)\( \displaystyle \lim_{x\to-2^{-}} f(x) \)
\(\textbf{2)}\)\( \displaystyle \lim_{x\to-2^{+}} f(x) \)
\(\textbf{3)}\)\( \displaystyle \lim_{x\to-2} f(x) \)
\(\textbf{4)}\) \(f(-2)\)

Graph for Questions 5-8

\(\textbf{5)}\)\( \displaystyle \lim_{x\to1^{-}} f(x) \)
\(\textbf{6)}\)\( \displaystyle \lim_{x\to1^{+}} f(x) \)
\(\textbf{7)}\) \( \displaystyle \lim_{x\to1} f(x) \)
\(\textbf{8)}\) \(f(1)\)

Graph for Questions 9-12

\(\textbf{9)}\)\( \displaystyle \lim_{x\to2^{-}} f(x) \)
\(\textbf{10)}\)\( \displaystyle \lim_{x\to2^{+}} f(x) \)
\(\textbf{11)}\) \( \displaystyle \lim_{x\to2} f(x) \)
\(\textbf{12)}\) \(f(2)\)

Graph for Questions 13-16

\(\textbf{13)}\)\( \displaystyle \lim_{x\to4^{-}} f(x) \)
\(\textbf{14)}\)\( \displaystyle \lim_{x\to4^{+}} f(x) \)
\(\textbf{15)}\) \( \displaystyle \lim_{x\to4} f(x) \)
\(\textbf{16)}\) \(f(4)\)

Graph for Questions 17-20

\(\textbf{17)}\)\( \displaystyle \lim_{x\to6^{-}} f(x) \)
\(\textbf{18)}\)\( \displaystyle \lim_{x\to6^{+}} f(x) \)
\(\textbf{19)}\) \( \displaystyle \lim_{x\to6} f(x) \)
\(\textbf{20)}\) \(f(6)\)

 

See Related Pages\(\)

\(\bullet\text{ Calculus Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Continuity on Graphs}\)
\(\,\,\,\,\,\,\,\,\)Thumbnail for Continuity on Graphs\(…\)
\(\bullet\text{ Piecewise Functions- Limits and Continuity}\)
\(\,\,\,\,\,\,\,\,\)Thumbnail for Piecewise Functions Calculus\(…\)
\(\bullet\text{ Infinite Limits}\)
\(\,\,\,\,\,\,\,\,\displaystyle \lim_{x\to 4^{+}} \frac{5}{x-4}\)
\(\bullet\text{ Limits at Infinity}\)
\(\,\,\,\,\,\,\,\,\displaystyle\lim_{x\to \infty}\frac{5x^2+2x-10}{3x^2+4x-5}\)
\(\bullet\text{ Trig Limits}\)
\(\,\,\,\,\,\,\,\,\displaystyle \lim_{\theta\to0} \frac{\sin \theta}{\theta}=1\)

 

Scroll to Top