Suppose P ( x )= a _ a + a _ 1 x + a _ 2 x ^ 2 + .+ a _ n x ^ n and |P(x)| |e^ x-1 -1 | x…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Suppose \(\mathrm{P}(\mathrm{x})=\mathrm{a}_{\mathrm{a}}+\mathrm{a}_{1} \mathrm{x}+\mathrm{a}_{2} \mathrm{x}^{2}+\ldots .+\mathrm{a}_{n} \mathrm{x}^{n}\)
and \(|P(x)| \leq\left|e^{x-1}-1\right|\)\(\forall x \geqslant 0\)
Then, \(\left|\mathbf{a}_{1}+2 \mathbf{a}_{2}+3 \mathbf{a}_{3}+\ldots+n \mathbf{a}_{n}\right| \leq \ldots \ldots\)
- 10
- 1
- 8
- none of these
Answer
(B) 1
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