ધારો કે $f(x) = \mathop {\text{Lim}}\limits_{h \to 0} \frac{1}{h} \int\limits_x^{x + h} \frac{dt}{t + \sqrt{1 + t^2}}$,તો $\mathop {\text{Lim}}\limits_{x \to -\infty} x \cdot f(x)$ શું થાય?
- A$0$ ની બરાબર
- B$\frac{1}{2}$ ની બરાબર
- C$1$ ની બરાબર
- Dઅસ્તિત્વ ધરાવતું નથી
Explore More
Similar Questions
જો $f(x) = x^3 + e^{x/2}$ અને $g(x) = f^{-1}(x)$ હોય,તો $g'(1)$ ની કિંમત શોધો.
જો $f(x) = \frac{\sin^{2} x}{1+\cot x} + \frac{\cos^{2} x}{1+\tan x}$ હોય,તો $f^{\prime}\left(\frac{\pi}{4}\right)$ શોધો.
MediumKCET 2011
View Solution$\frac{d}{d x}\left[\cos ^2\left(\cot ^{-1} \sqrt{\frac{2+x}{2-x}}\right)\right]$ ની કિંમત શોધો.
DifficultKCET 2024
View Solution$x = \frac{1-\sqrt{y}}{1+\sqrt{y}} \Rightarrow \frac{dy}{dx}$ ની કિંમત શોધો.
વિકલન શોધો: $\frac{d}{dx} \left( \frac{e^x}{1 + x^2} \right)$
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo