a) Write the sum of the series \( 1^2 + 2^2 + 3^2 + \dots + n^2 \) b) State principle of mathematical induction. c) For what condition \( \log_e…
Class 12 Mathematics · 2081 · Solved Question with Answer
a) Write the sum of the series \( 1^2 + 2^2 + 3^2 + \dots + n^2 \)
b) State principle of mathematical induction.
c) For what condition \( \log_e \left( x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + \dots \right) \)necessarily exist.
d) Write $e^x$ in expanded form. \( (2 < e < 3) \)