- #1

Rectifier

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**The problem**

[tex] \lim_{x\rightarrow \infty} \frac{x^4 + x \ln x}{x + \left( \frac{2}{3} \right)^x} [/tex]

**The attempt**

[tex] \lim_{x\rightarrow \infty} \frac{x^4 + x \ln x}{x + \left( \frac{2}{3} \right)^x} = \lim_{x\rightarrow \infty} \frac{x^4(1 + \frac{x \ln x}{x^4}) }{x + \left( \frac{2}{3} \right)^x} [/tex]

Should I factor ## x ## or ## \left( \frac{2}{3} \right)^x ## in the denomenator?