Question: (a) How is the number e defined? (b) Use a calculator to estimate the values of the limits lim h l 0 2.7h 2 1

(a) How is the number e defined?

(b) Use a calculator to estimate the values of the limits lim h l 0 2.7h 2 1 h

and lim h l 0 2.8h 2 1 h

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

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