Question

Find an equivalent expression for lim x->π ( (sin(x)-sin(π)) / (x-π) )

A. sin(x-π)
B. cos(π)
C. sin(x) - sin(π)
D. cos(x-π)

Answer 1

The given expression is a form of the derivative of the sine function at π. The derivative of sin(x) is cos(x). Therefore, when x approaches π, the equivalent expression becomes cos(π). So, the correct answer is B. cos(π). This is a fundamental concept in calculus. Please note that this explanation assumes you have a basic understanding of limits and derivatives. If you need more information or help with these topics, feel free to ask!

Explanation: