Limits with trigonometric functions

Task number: 2980

Compute the limits

  • Variant 1

    \(\displaystyle \lim_{x\to 0}\frac{1-\cos x}{x^2} \).

  • Variant 2

    \(\displaystyle \lim_{x\to 0^-}\frac1{x^2+\sin x} \).

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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