Prove two exponential functions g & h with positive coefficients & bases b_{g}& b_{h}have the same order of growth if b_{g}=b_{h}>1, & b_{g}has a higher order of growth than b_{h}if b_{g}>b_{h}>1.

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- Nov 5th 2012, 01:09 PMfraniosorder of growth prove
Prove two exponential functions g & h with positive coefficients & bases b

_{g}& b_{h}have the same order of growth if b_{g}=b_{h}>1, & b_{g}has a higher order of growth than b_{h}if b_{g}>b_{h}>1. - Nov 6th 2012, 12:15 AMchiroRe: order of growth prove
Hey franios.

Whats the definition of order of growth? - Nov 7th 2012, 08:52 AMfraniosRe: order of growth prove
its the description of the end behavior?

- Nov 7th 2012, 04:41 PMchiroRe: order of growth prove
So you mean as t -> infinity? If that is the case then get the model and evaluate it as the limit of t tends to infinity and see if it blows up (becomes infinite in magnitude) or converges to a fixed value.