limit as x approaches infinity of xsin(1/x)

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`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 inverse tangent line

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lim_{x→ ∞}(xsin(1x ))

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lim_{x→ ∞}(xsin(1x ))

Rewrite for L'Hopital

=lim_{x→ ∞}(sin(1x )1x )

Apply L'Hopital's Rule: lim_{x→ ∞}(−cos(1x )x² −1x² )

=lim_{x→ ∞}(−cos(1x )x² −1x² )

Simplify −cos(1x )x² −1x² : cos(1x )

=lim_{x→ ∞}(cos(1x ))

Apply the Limit Chain Rule: 1

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

limit as x approaches infinity of xsin(1/x)

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