$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\tan{x}}{x}} \,=\, 1$

The limit of quotient of tan of angle by angle as the angle approaches zero is equal to one. It is a standard result in calculus and used as a rule for finding the limit of a function in which tangent is involved.

$x$ is a variable and used to represent angle of a right triangle. The tangent function is written as $\tan{x}$ as per trigonometry. The limit of ratio of $\tan{x}$ to $x$ as $x$ tends to zero is often appeared in calculus.

$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\tan{x}}{x}}$

In fact, the limit of $\tan{(x)}/x$ as $x$ approaches to $0$ is equal to $1$. This standard result in tan function is used as a formula everywhere in the mathematics.

Latest Math Topics

Mar 21, 2023

Feb 25, 2023

Feb 17, 2023

Feb 10, 2023

Jan 15, 2023

Latest Math Problems

Mar 03, 2023

Mar 01, 2023

Feb 27, 2023

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved