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Find the domain of the function.
$ f(x) = \dfrac{x + 4}{x^2 - 9} $
(a) How is the number $ e $ defined?(b) Use a calculator to estimate the values of the limits
$ \displaystyle \lim_{h\to 0}\frac {2.7^h - 1}{h} $ and $ \displaystyle \lim_{h\to 0}\frac {2.8^h - 1}{h} $
correct to two decimal places. What can you conclude about the value of $ e $?
Differentiate the function.$ f(x) = 2^{40} $
Differentiate the function.$ f(x) = 5.2x + 2.3 $
Differentiate the function.$ f(x) = e^5 $
Differentiate the function.$ g(x) = \frac{7}{4}x^2 - 3x + 12 $