CBSE Class 12-science Answered
Discuss the applicability of Rolle’s theorem for the following function on the indicated interval: f (x) = tan x on [0, p]
Asked by Topperlearning User | 04 Aug, 2014, 16:03: PM
We have, f (x) = tan x, x Î [0, p]
Since
and f (x) is not continuous at x = ![straight pi over 2](https://images.topperlearning.com/topper/tinymce/cache/cb43cb6cdc5043f0e8733275c7cf1ff0.png)
![open parentheses straight pi over 2 close parentheses element of open square brackets 0 comma straight pi close square brackets](https://images.topperlearning.com/topper/tinymce/cache/e6bb28cd3245750a3445ca957e845ca3.png)
![straight pi over 2](https://images.topperlearning.com/topper/tinymce/cache/cb43cb6cdc5043f0e8733275c7cf1ff0.png)
So, the condition of continuity at each point of [0, p] is not satisfied.
Hence, Rolle’s theorem is not applicable to f (x) = tan x on the interval [0, p]
Answered by | 04 Aug, 2014, 18:03: PM
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