lim f(x) = √(2x) as x approaches 0.
Added by Thomas S.
Close
Step 1
For x < 0: lim f(x) = lim (-2x) = -∞ x→0- 03-3 For x > 0: lim f(x) = lim (2x) = ∞ x→0+ 03-3 Since the left and right limits are not equal, the overall limit does not exist. Show more…
Show all steps
Your feedback will help us improve your experience
Sai Sai and 101 other Precalculus 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
lim f(x+Δx) - f(x) / Δx Δ-->0 f(x)=x^2-4x
Madhur L.
$\begin{aligned} \lim _{x \rightarrow \infty} f(x) &=\lim _{x \rightarrow \infty}\left(\frac{2}{x}+2+\frac{\sqrt{x^{2}+4}}{x}\right) \\ &=3 \end{aligned}$
Find $\lim _{x \rightarrow-\infty} f(x)$ and $\lim _{x \rightarrow \infty} f(x)$ for the given function $f$. $$ f(x)=\frac{2 x+1}{\sqrt{3 x^{2}+1}} $$
Limit of a Function
Limits That Involve Infinity
Recommended Textbooks
Precalculus with Limits
Precalculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD