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Evaluate the following limits$\lim _{x \rightarrow \pi} \frac{\sin (\pi-x)}{\pi(\pi-x)}$
$$\frac{1}{\pi}$$
Calculus 1 / AB
Chapter 13
Limits and Derivatives
Section 1
Introduction
Limits
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In this problem we have sine of pi minus x, divided by 5, into pi minus x, as x, tends to let us take t as 5 minus x, so when x tends to pi means that t is tending to 0, so this can be written as it Tends to 0 sine of t divided by t into 1 using the theorem. This is nothing but 1 into 1 by 5, which is 1 over.
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