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

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

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

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

f (a) g (a)

Solution steps

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

Plug in the value

x = a

, assuming the function is continuous at this point

= f (a) g (a)

\frac{\partial}{\partial θ} (r (θ))

\frac{d}{d x} ((x^{2} - 2 x) e^{4 x})

\int (x + 1)^{- 8} d x

\frac{\partial}{\partial y} (x^{2} - 2 x y + y^{2})

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

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