Prove that$$|1-x+x^2+x^3| \le \frac{1-|x|^4} {1-|x|}$$
I see that I should use the triangle inequality to solve for this, but I am not sure how to go about doing so.
2026-04-12 03:13:40.1775963620
Prove that $|1-x+x^2+x^3| \le \frac{1-|x|^4} {1-|x|}$
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Hint: $|1 - x + x^2 + x^3| \le 1 + |x| + |x|^2 + |x|^3$.