The coefficient of \( x^{4} \) in the expansion of \( \left\{\sqrt{1+x^{2}}-x\right\}^{-1} \) in... VIDEO
The coefficient of \( x^{4} \) in the expansion of \( \left\{\sqrt{1+x^{2}}-x\right\}^{-1} \) in ascending powers of \( x \), when \( |x|1 \), is
(1) 0
(2) \( \frac{1}{2} \)
(3) \( -\frac{1}{2} \)
(4) \( -\frac{1}{8} \)
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