# Thread: relative rates of growth

1. ## relative rates of growth

show which function grows faster.. as x approaches infinity..

e^x , e^cosx

e^x , sqrt(1 + x^4)

I understand the concept, but am having a hard time with the e^x. How do I go at these?

2. I believe $e^x > \sqrt{1 + x^4}> e^{cosx} , x \rightarrow \infty$