What is the limit as x approaches 2 of (g(x))/(f(x)) ?

The limit as x approaches 2 of (g(x))/(f(x)) is (g(2))/(f(2))

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limit as x approaches 2 of (g(x))/(f(x))

x \to 2 lim (\frac{g ( x )}{f ( x )})

\frac{g ( 2 )}{f ( 2 )}

Solution steps

x \to 2 lim (\frac{g ( x )}{f ( x )})

Plug in the value

x = 2

, assuming the function is continuous at this point

= \frac{g ( 2 )}{f ( 2 )}

x \to 1 lim (\frac{3}{1 - x})

x \to 1 lim (3 x^{2} - 2 x^{2} + 4)

x \to 0 lim (\frac{8}{x} - \frac{8}{e ^{x} - 1})

x \to 0 lim (\frac{x}{x - x ^{2}})

x \to \infty lim (9 - x^{2})

What is the limit as x approaches 2 of (g(x))/(f(x)) ?
The limit as x approaches 2 of (g(x))/(f(x)) is (g(2))/(f(2))