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SSC Pure Mathematics QUESTION #11163
Question 1
The series $x - \dfrac{x^3}{3!} + \dfrac{x^5}{5!} - \dfrac{x^7}{7!} + \cdots$ is the Maclaurin series of:
  • $\cos x$
  • $\sin x$✔️
  • $\sinh x$
  • $\cosh x$
Correct Answer Explanation
The Maclaurin series for $\sin x$ is $\displaystyle\sum_{n=0}^\infty \frac{(-1)^n x^{2n+1}}{(2n+1)!} = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots$ This is the sine function.