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Find the number of roots of the equation...

Find the number of roots of the equation `log_(e)(1+x)-(tan^(-1)x)/(1+x)=0`

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To solve the equation \( \log_e(1+x) - \frac{\tan^{-1}(x)}{1+x} = 0 \), we will follow these steps: ### Step 1: Rewrite the Equation We start with the equation: \[ \log_e(1+x) - \frac{\tan^{-1}(x)}{1+x} = 0 \] This can be rewritten as: ...
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