Assertion $(A)$: If $|x| < 1$,then $\sum_{n=0}^{\infty}(-1)^n x^{n+1} = \frac{x}{x+1}$.
Reason $(R)$: If $|x| < 1$,then $(1+x)^{-1} = 1-x+x^2-x^3+\dots$.
Which one of the following is true?
Reason $(R)$: If $|x| < 1$,then $(1+x)^{-1} = 1-x+x^2-x^3+\dots$.
Which one of the following is true?
- A$A$ and $R$ are true,$R$ is a correct explanation of $A$.
- B$A$ and $R$ are true but $R$ is not a correct explanation of $A$.
- C$A$ is true,but $R$ is false.
- D$A$ is false,but $R$ is true.
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