MCQ
દરેક $x \in (0,\,1)$ માટે . . . .
- A${e^x} < 1 + x$
- ✓${\log _e}(1 + x) < x$
- C$\sin x > x$
- D${\log _e}x > x$
so the answer $(a)$ is not correct.
Since $\sin \frac{\pi }{6} < \frac{\pi }{6}$ because $\frac{1}{2} < \frac{{22}}{{42}}$.
So,$ (c) $ is not correct.
$\log \frac{1}{2} < \frac{1}{2}$ because $\log \frac{1}{2}$ is negative.
$\therefore $ Option $(d)$ is not correct.
Thus, by elimination $ (b)$ is correct.
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$f(x) \rightarrow \frac{\lambda\left|x^{2}-5 x+6\right|}{\mu\left(5 x-x^{2}-6\right)}, x<2$
$\quad\quad\quad\quad e^{\frac{\tan (x-2)}{x-[x]}}, \quad x>2$
$\quad\quad\quad\quad \mu \quad\quad\quad\quad x=2$
કે જ્યાં $[x]$ એ મહતમ પૃણાંક વિધેય છે. જો $f$ એ $x=2$ આગળ સતત હોય તો $\lambda+\mu$ ની કિમંત મેળવો.