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Elza [17]
3 years ago
13

Given real numbers a,b > 1.

Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer:

FALSE

Step-by-step explanation:

Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that

|f(x)|\leq Me^{cx}\;(x\geq r)

Now, take a = 2.5 and b = 2

The functions

f(x)=(2.5)^x\;g(x)=2^x

are both exponential of order 1, since  

\lim_{x \to \infty}\frac{f(x)}{e^x}=\lim_{x \to \infty}\frac{g(x)}{e^x}=0

but a>b

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