Question:

Function f(x)=(x+1)^cotx is continuous at x = 0, then the value of f(0) is

Updated On: Mar 12, 2025

Hide Solution

Verified By Collegedunia

The Correct Option is C

The correct answer is(C): e

Was this answer helpful?

The sum of all local minimum values of the function $f(x)$ as defined below is:
$f(x) = \begin{cases} 1 - 2x & \text{if } x < -1, \\[10pt] \frac{1}{3}(7 + 2|x|) & \text{if } -1 \leq x \leq 2, \\[10pt] \frac{11}{18}(x-4)(x-5) & \text{if } x > 2. \end{cases}$
- JEE Main - 2025
- Mathematics
- Functions
View Solution
In $I(m, n) = \int_0^1 x^{m-1} (1-x)^{n-1} \, dx$ , where $m, n > 0$ , then $I(9, 14) + I(10, 13)$ is:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
Let $f(x) = \frac{2^{x+2} + 16}{2^{2x+1} + 2^{x+4} + 32}$ . Then the value of $8 \left( f\left( \frac{1}{15} \right) + f\left( \frac{2}{15} \right) + \dots + f\left( \frac{59}{15} \right) \right)$ is equal to:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
Let $f: \mathbb{R} \to \mathbb{R}$ be a function defined by $f(x) = \left( 2 + 3a \right)x^2 + \left( \frac{a+2}{a-1} \right)x + b, a \neq 1$ . If $f(x + y) = f(x) + f(y) + 1 - \frac{2}{7}xy,$ then the value of $28 \sum_{i=1}^5 f(i)$ is:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
The area of the region enclosed by the curves $y = e^x$ , $y = |e^x - 1|$ , and the y-axis is:
- JEE Main - 2025
- Mathematics
- Functions
View Solution

View More Questions

View More Questions