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Find the limit.$ \displaystyle \lim_{x \to 0} \frac{\sin x}{\sin \pi x} $
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00:31
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 3
Derivatives of Trigonometric Functions
Derivatives
Differentiation
Oregon State University
Baylor University
University of Nottingham
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
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how do i solve this?
it's clear. So when you read here so we have the limit as X approaches. Sarah for sign. That's over. Sign pi X. This is equal to the limit as X approaches zero sine X over max times X over sign pi X We simplify one over pi limit as X approaches Sarah word pie that's over. Sign by X in this equals one over pi.
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