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Question : 54
Total: 54
Let f 1 : ℝ → ℝ , f 2 : ( −
,
) → ℝ , f 3 ( − 1 , e
− 2 ) → ℝ and f 4 : ℝ → ℝ be functions defied by
(i)f 1 ( x ) = s i n ( √ 1 − e − x 2 )
(ii)f 2 ( x ) = {
,
where the inverse trigonometric functiont a n − 1 x assumes values in ( −
,
)
(iii)f 3 ( x ) = [ s i n ( log e ( x + 2 ) ) ] , where for t ∊ ℝ , [ t ] denotes the greatest integer less than or equal to t,
(iv)f 4 ( x ) = {
The correct options is:
(i)
(ii)
where the inverse trigonometric function
(iii)
(iv)
List - I | List - II |
---|---|
P. the function | 1. NOT continuous at |
Q. The function | 2. Continuous at |
R. The function | 3. Differentiable at |
S. The function | 4. Differentiable at |
P | Q | R | S | |
---|---|---|---|---|
A) | 2 | 3 | 1 | 4 |
B) | 4 | 1 | 2 | 3 |
C) | 4 | 2 | 1 | 3 |
D) | 2 | 1 | 4 | 3 |
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