Home › JEE Advanced › Mathematics › Limits and Derivatives › The value of $\displaystyle\lim_{x\to 0}\frac{\t…
The value of $\displaystyle\lim_{x\to 0}\frac{\tan x}{x}$ is:
A0
B$\tfrac{1}{2}$
C1
D$\infty$
Answer & Solution
Correct answer: C. 1
Standard limit: lim_{x→0} (tan x)/x = 1.
Related questions
The first principle finds a derivative without using any:Reading the derivative as a rate of change describes how fast a value:The two one sided limits of a function are compared to test:Derivatives are defined at a point lying in the function's:A limit is concerned with the value a function is:Points such as 4.9, 4.95 and 4.99 lie to the left of:For the function x plus 10, the limit at 5 works out to:Instantaneous velocity is found by taking a limit of the: