A) \[\left[ 0,\text{ }1 \right]\]
B) \[\left[ 0,\text{ }1/2 \right]\]
C) \[\left[ 0,\text{ }2 \right]\]
D) none of these
Correct Answer: C
Solution :
[c] Given| \[f(x)=\sqrt{(1-\cos x)(1-\cos x)\sqrt{(1-\cos x)\sqrt{...\infty }}}\] |
| \[={{(1-\cos x)}^{\frac{1}{2}}}{{(1-\cos x)}^{\frac{1}{4}}}{{(1-\cos x)}^{\frac{1}{8}}}...\infty \] |
| \[={{(1-\cos x)}^{\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...\infty }}\] |
| \[={{(1-\cos x)}^{\frac{1/2}{1-(1/2)}}}\] |
| \[=1-\cos x\] |
You need to login to perform this action.
You will be redirected in
3 sec
