2 years ago

Tan(pi/2) = A)1B) -1C)0D) Undefined

Mathematics

1 answer:

Alexus [3.1K]2 years ago

5 0

Answer:

D) Undefined

Step-by-step explanation:

$\tan \: \bigg( \frac{\pi}{2} \bigg) = \infty \: or \: undefined\\$

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<h3>Answer: C) I and II only</h3>

===============================================

Work Shown:

Part I

$\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\$

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Part II

$\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\$

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Part III

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2 years ago

Tan(pi/2) = A)1B) -1C)0D) Undefined​

Tan(pi/2) = A)1B) -1C)0D) Undefined