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CGP EDU Academic Team
Published on: August 14, 2026
The equation 
has n solution(s) in (0,1), then the value of (n+2) is equal to
Text Solution
Verified by ExpertsThe correct answer is:
2
2
Let f (x) = x 3 + 3x 2 + 6x + 3 - 2cosx
f ' (x) = 3x 2 + 6x + 6 + 2sinx
f ' (x) = 3 (x + 2x+2) +2sinx
f ' (x) is always positive as the minimum value of 3 (x 2 + 2x + 2) is 3 and that of 2 sin x is -2, so f (x) is increasing in (0,1)
f(0) = 1, f(l) = 13-2cosx> 0
f (x) = 0 has no solution in (0,1)
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