11-12 Sketch the graph of the function and use it to determine the values of a for which lim x→a f(x) exists. 11. f(x) = 1 + x if x < -1 x^2 if -1 ≤ x < 1 2 - x if x ≥ 1 12. f(x) = 1 + sin x if x < 0 cos x if 0 ≤ x ≤ π sin x if x > π
Added by Dustin O.
Step 1
Step 1:** Sketch the graph of the function based on the given information: - For x < -1, the function is 1 + x - For -1 < x < 0, the function is sin(x) - For 0 < x < 2, the function is cos(x) - For x > 2, the function is sin(x) ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Carson Merrill and 89 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Collin P.
11-12 Sketch the graph of the function and use it to determine the values of a for which $\lim _{x \rightarrow a} f(x)$ exists. $$f(x)=\left\{\begin{array}{ll}{1+x} & {\text { if } x<-1} \\ {x^{2}} & {\text { if }-1 \leq x<1} \\ {2-x} & {\text { if } x \geqslant 1}\end{array}\right.$$
Limits and Derivatives
The Limit of a Function
13-14 Use the graph of the function f to state the value of each limit, if it exists. If it does not exist, explain why. (a) lim f(x) as x approaches 6 (b) lim f(x) as x approaches 0+ (c) lim f(x) as x approaches infinity f(x) = x^2 + x 14. f(x) = (x^3 + x^2) 13. f(x) = 1 + e^x
Supreeta N.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD