>
Mathematics
>
Continuity and differentiability
>
let f x 1 cos 4x x 2 if x 0 and a if x 0 and x 16
Question:
Let
\(f(x) = \frac{(1 - cos 4x)}{x^2}\)
, if x < 0 and a, if x = 0 and
\(\sqrt{\frac{x}{(\sqrt{(16+\sqrt{x})}-4)}}\)
, if x > 0}. If
\(f(x)\)
is continuous at x = 0, determine the value of a.
Updated On:
Jul 16, 2024
Hide Solution
Verified By Collegedunia
Solution and Explanation
The correct answer is:
Download Solution in PDF
Was this answer helpful?
1
0
Top Questions on Continuity and differentiability
If $(x)^y = (y)^x$, then find $\frac{dy}{dx}$.
CBSE CLASS XII - 2025
Mathematics
Continuity and differentiability
View Solution
Differentiate $y = \sin^{-1}(3x - 4x^3)$ with respect to $x$, for $x \in \left[ -\frac{1}{2}, \frac{1}{2} \right]$.
CBSE CLASS XII - 2025
Mathematics
Continuity and differentiability
View Solution
Differentiate $y = \cos^{-1}\left( \frac{1 - x^2}{1 + x^2} \right)$ with respect to $x$, when $x \in (0, 1)$.
CBSE CLASS XII - 2025
Mathematics
Continuity and differentiability
View Solution
(a) Differentiate $\sqrt{e^{\sqrt{2x}}}$ with respect to $e^{\sqrt{2x}}$ for $x>0$.
CBSE CLASS XII - 2025
Mathematics
Continuity and differentiability
View Solution
If $y = a \cos(\log x) + b \sin(\log x)$, then $x^2y'' + xy'1$ is:
CBSE CLASS XII - 2025
Mathematics
Continuity and differentiability
View Solution
View More Questions