Let f(x) = k=1^ x^k, where x R and f(2) = 119. Then f(2) - f(1) i… — Solution | JEE Mathematics | Jeeify

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NVAMediumJEE 2023Sum of Series

Let $f(x) = \sum_{k=1}^{\infty} x^k$ , where $x \in \mathbb{R}$ and $f(2) = 119$ . Then $f(2) - f(1)$ is equal to _____.

Answer

Correct answer:10

Step-by-step solution

the solution unavailable

Working could not be extracted from the solution. The answer has been taken from the provided correct answer field as $10$ .

Common mistakes

Treating the notation $\sum_{k=1}^{\infty} x^k$ literally without noticing that the given value $f(2) = 119$ is inconsistent with an infinite geometric series for $x=2$ . Use the provided answer source when the solution is unavailable.
Including units or extra words in the numerical answer. For a numerical value answer, write only the number, so the answer should be entered as $10$ and not with any added text.

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