What is the limit as x approaches 3 of f(x)(g(x)) ?

The limit as x approaches 3 of f(x)(g(x)) is f(3)g(3)

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limit as x approaches 3 of f(x)(g(x))

x \to 3 lim (f (x) (g (x)))

f (3) g (3)

Solution steps

x \to 3 lim (f (x) g (x))

Plug in the value

x = 3

, assuming the function is continuous at this point

= f (3) g (3)

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = 0

\frac{e ^{x}}{x + 4}

\frac{d}{d x} (x^{3} + x^{2} - 8 x + 7)

\int 2^{u} d u

\frac{d y}{d x} = \frac{( y ^{2} - 1 )}{x ^{2} - 1}, y (2) = 2

What is the limit as x approaches 3 of f(x)(g(x)) ?
The limit as x approaches 3 of f(x)(g(x)) is f(3)g(3)