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  • 18-08-2019
  • Mathematics
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Prove [tex]\lim_{x \to 0} \frac{sin x}{x} = 1[/tex]

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Аноним Аноним
  • 18-08-2019

Answer:

See below.

Step-by-step explanation:

sin x / x.

You can prove this by L'Hopitals Rule.

If x = 0 then the function = 0/0 so the above rule is applicable here.

Differentiating top and bottom we get cos x / 1  = cos x.

Limit x --> 0 of cos x = 1 so it is proved.

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