Which of the following functions are of exponential order

Chapter 7, Problem 29E

(choose chapter or problem)

Which of the following functions are of exponential order?

(a) \(t^{3} \text { sint }\)                (b) \(100 e^{49 t}\)

(c)                         (d) \(t \mid n t\)

(e) \(e^{t^{3}}\)                        (f) \(\frac{1}{t^{2}+1}\)

(g) \(\cosh \left(t^{2}\right)\)                (h) \(3-e^{t^{2}}+\cos 4 t\)

(i) \(\exp \left\{t^{2} /(t+1)\right\}\)                (j) \(\sin \left(e^{t^{2}}\right)+e^{s i n t}\)

Equation transcription:

Text transcription:

t^{3}{ sint }

100 e^{49 t}

e^{t^{3}}

t mid n t

frac{1}{t^{2}+1}

cosh(t^{2})

3-e^{t^{2}}+cos 4 t

exp{t^{2} /(t+1)}

sin(e^{t^{2}})+e^{s i n t}