Elementary calculus 2

Level 1

lim ⁡ h → 0 sin ⁡ h h = ? \large \displaystyle \lim_{h \to 0} \frac{\sin{h}}{h} = \ ?\

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The answer is 1.

Yellow Tomato by Yellow Tomato , 17, USA

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1 solution

Celso Camargo
Nov 21, 2015

Apllying L'Hôpital, lim(h->0)sin(h) / h = lim(h->0)sin(h)'/ h'= lim(h->0)cos(h) /1= lim(h->0)cos(h) = cos(0) = 1

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