Mathematics, 21.01.2021 05:40, kamrulh278

Suppose that g(x) is a function for which g(a) is defined and for which: $\lim_{x \to \ a} g(x) -g(a)/x - a = M$
a) Show, using algebra, that the following statement is true as long as $x\neq a$
b) Show, using limit laws, that the following statement is true:

$g(x) = (\frac{g(x)-g(a)}{x-a})*(x-a)+g(a)$
$lim_{x \to \ a} [(\frac{g(x)-g(a)}{x-a})*(x-a)+g(a)] = g(a)$

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Suppose that g(x) is a function for which g(a) is defined and for which:
a) Show, using alge...