Vault Of Euclid

Limit of a Quartic Polynomial at Negative Infinity

Limits warmup

Evaluate \(\lim_{x\to-\infty} (3x^4 - x^2 + x - 7)\).

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What you need first

Understanding of limits as x approaches infinity or negative infinity
Factoring algebraic expressions
Properties of limits of products

What this problem tests

Tests the ability to evaluate limits of polynomials at infinity by identifying and factoring out the dominant term.

This is a standard introductory calculus problem on limits at infinity.

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