Limit Calculator

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Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

lhopital squeeze chain factoring sandwich

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Steps Examples

Generated by AI

extreme points 3x²y+y³−3x²−3y²+2

Solution

Minimum(0, 2), Maximum(0, 0), Saddle(1, 1), Saddle(−1, 1)

Show Steps

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Solution steps

One step at a time

∂ ∂ x (ln(x²+y²))

Treat y as a constant

Apply the chain rule: 1x²+y² ∂ ∂ x (x²+y²)

=1x²+y² ∂ ∂ x (x²+y²)

∂ ∂ x (x²+y²)=2x

=1x²+y² · 2x

Simplify 1x²+y² · 2x: 2xx²+y²

=2xx²+y²

Solve instead

critical points 3x²y+y³−3x²−3y²+2

Description

The Limit Calculator is an essential online tool designed to compute limits of functions efficiently. Here's how to use it:

Begin by entering the mathematical function for which you want to compute the limit into the above input field, or scanning the problem with your camera.
Choose the approach to the limit (e.g., from the left, from the right, or two-sided).
Input the point at which you want to evaluate the limit.
Once you've entered the function, selected the approach, and specified the limit point, click the 'Go' button to generate the result.

Limit Examples

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Notebook

View Full Notebook

−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Limit Calculator

Solution

Solution steps

Solve instead

Number Line

Graph

1	2	1
6	−1	0
−1	−2	−1