L' Hopital is valid

Calculus Level 2

lim ⁡ x → ∞ sin ⁡ x x = ? \huge \lim_{x\to\infty} \frac{\sin x}x = \, ?

None of them -1 ∞ \infty 1 Can't be determined 0

Md Mehedi Hasan by Md Mehedi Hasan , 22, Bangladesh

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1 solution

Hana Wehbi
Nov 27, 2017

Since − 1 ≤ sin ⁡ x ≤ 1 and since lim ⁡ x → ∞ 1 x = 0 ⟹ lim ⁡ x → ∞ s i n x x = 0 -1\le \sin x \le 1\text{ and since} \lim_{x\rightarrow\infty} \frac{1}{x}=0\implies \lim_{x\rightarrow\infty}\frac{sin x}{x}=0

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Brilliant Mathematics Staff - 3 years, 6 months ago

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