Estimating Two-Sided Limits Numerically
Read this topicExplanations 2
- First, let's explore the limit of a nice, continuous function, f(x)=12xf(x) = \frac{1}{2}xf(x)=21x. If we try to find the limit of a function at a point for which the function …
By Caleb Xu, Alex Federspiel
- (Video) Estimate a Limit Numerically by YourCalculusHelper Here's a video by YourCalculusHelper showing you how you estimate a limit numerically. If you can't tell where the lim…
By Alex Federspiel
Problems 6
- Take the function f(x)=exf(x)=e^xf(x)=ex and solve for the following values to find limx→3f(x)\lim\limits_{x\to3}{f(x)}x→3limf(x). 22.92.992.999→3→?3←3.0013.013.14?←\\\begin{a…
- Take the function f(x)=x2−5x−24x+3f(x)=\frac{x^2-5x-24}{x+3}f(x)=x+3x2−5x−24 and solve for the following values to find limx→−3f(x)\lim\limits_{x\to-3}{f(x)}x→−3limf(x). −4−3…
- Take the function f(x)=3x−1f(x)=\frac{3}{x-1}f(x)=x−13 and solve for the following values to find limx→1f(x)\lim\limits_{x\to1}{f(x)}x→1limf(x). 00.90.990.999→1→?1←1.0011.011…
- Take the function f(x)=sin(x)xf(x)=\frac{\sin(x)}{x}f(x)=xsin(x) and solve for the following values to find limx→0f(x)\lim\limits_{x\to0}{f(x)}x→0limf(x). −1−0.1−0.01−0.001→…
- Take the function f(x)=1x−1∣x∣f(x)=\frac{1}{x}-\frac{1}{|x|}f(x)=x1−∣x∣1 and solve for the following values to find limx→0f(x)\lim\limits_{x\to0}{f(x)}x→0limf(x). −1−0.1−0.0…
- Take the function f(x)=(3+x3)(6−4x2+x3)f(x)=(3+\sqrt[3]{x})(6-4x^2+x^3)f(x)=(3+3x)(6−4x2+x3) and solve for the following values to find limx→8f(x)\lim\limits_{x\to8}{f(x)}x→8l…