List of top Data Science and Artificial Intelligence Questions on Calculus asked in GATE DA

Let \(f(x) = x^3 - 3x^2 + 2\) be a function defined on \((-1, 3]\).

Which of the following statements is/are correct?

The value of \(\displaystyle\sum_{i=0}^{\infty}\sum_{j=1}^{\infty} 2^{-i}\,3^{-j}\) is ________. (Answer in integer)