Describe the end behavior of as

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Describe the end behavior of f(x)=xln⁡xf(x)=x\ln x as x→∞x\to\infty. State whether the function approaches a finite limit, diverges to ∞\infty or −∞-\infty, or approaches 00, and briefly indicate which factor controls the growth.

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