?(a) How is the number e defined?(b) Use a calculator to estimate the values of the

Chapter 2, Problem 1

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QUESTION:

(a) How is the number e defined?

(b) Use a calculator to estimate the values of the limits

\(\lim \limits_{h \rightarrow 0} \frac{2.7^{h}-1}{h}\) and \(\lim \limits_{h \rightarrow 0} \frac{2.8^{h}-1}{h}\)

correct to two decimal places. What can you conclude about the value of e?

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QUESTION:

(a) How is the number e defined?

(b) Use a calculator to estimate the values of the limits

\(\lim \limits_{h \rightarrow 0} \frac{2.7^{h}-1}{h}\) and \(\lim \limits_{h \rightarrow 0} \frac{2.8^{h}-1}{h}\)

correct to two decimal places. What can you conclude about the value of e?

ANSWER:

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