inverse of (x+1)/(x-1)

Topic

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

simplify solve for expand factor rationalize

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Steps Examples

Generated by AI

lim_{x→ 0}(sin(5x)2x )

Solution

Decimal

2.5

Mixed Number

212

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Solution steps

One step at a time

lim_{x→ 0}(sin(5x)2x )

lim_x→a[c·f(x)]=c·lim_x→af(x)

=12 · lim_{x→ 0}(sin(5x)x )

Apply L'Hopital's Rule: lim_{x→ 0}(cos(5x)· 51 )

=12 · lim_{x→ 0}(cos(5x)· 51 )

Plug in the value x=0

=12 · cos(5· 0)· 51

Simplify 12 · cos(5· 0)· 51 : 52

=52

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