Vault Of Euclid

Limit of a Polynomial at Infinity

Limits warmup

Evaluate \(\lim_{x\to+\infty} (2x^{11}-5x^6+3x^2+1)\).

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What you need first

Basic algebra (factoring)
Understanding of limits at infinity
Knowing that 1/x^n approaches 0 as x approaches infinity for n > 0

What this problem tests

Tests the ability to determine the end behavior of a polynomial by factoring out the dominant term.

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

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