(a) How is the number defined? (b) Express as a limit. (c) Why is the natural exponential...

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(a) How is the number defined?
(b) Express as a limit.
(c) Why is the natural exponential function y = ex used more often in calculus than the other exponential functions y = ax?
(d) Why is the natural logarithmic function y = In x used more often in calculus than the other logarithmic functions y = loga x?
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