What is the limit as x approaches 3 of ((x^3f(x)-54))/(g(x)-1) ?

The limit as x approaches 3 of ((x^3f(x)-54))/(g(x)-1) is (27f(3)-54)/(g(3)-1)

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limit as x approaches 3 of ((x^3f(x)-54))/(g(x)-1)

x \to 3 lim (\frac{( x ^{3} f ( x ) - 54 )}{g ( x ) - 1})

\frac{27 f ( 3 ) - 54}{g ( 3 ) - 1}

Solution steps

x \to 3 lim (\frac{x ^{3} f ( x ) - 54}{g ( x ) - 1})

Plug in the value

x = 3

, assuming the function is continuous at this point

= \frac{3 ^{3} f ( 3 ) - 54}{g ( 3 ) - 1}

Simplify

= \frac{27 f ( 3 ) - 54}{g ( 3 ) - 1}

\frac{\partial}{\partial x} (ln (x) y)

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\frac{d y}{d x} = e^{2 x - 5 y}

y^{^{'}} = \frac{x ^{2} + 2 y ^{2}}{x y}

What is the limit as x approaches 3 of ((x^3f(x)-54))/(g(x)-1) ?
The limit as x approaches 3 of ((x^3f(x)-54))/(g(x)-1) is (27f(3)-54)/(g(3)-1)