MCQ
Maximum value of $\sin x - \cos x$ is equal to
- ✓$\sqrt 2 $
- B$1$
- C$0$
- DNone of these
$i.e.,\,\,$$ \sqrt 2 $.
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$(A)$ $\frac{\pi}{4}$ $(B)$ $\frac{\pi}{6}$ $(C)$ $\frac{\pi}{12}$ $(D)$ $\frac{5 \pi}{12}$
$\lim _{x \rightarrow 0^{+}} \frac{(1-x)^{\frac{1}{x}}-e^{-1}}{x^a}$
is equal to a nonzero real number, is. . . . . . .