What is the limit as x approaches 0 of f(x)*g(x) ?

The limit as x approaches 0 of f(x)*g(x) is f(0)g(0)

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limit as x approaches 0 of f(x)*g(x)

x \to 0 lim (f (x) \cdot g (x))

f (0) g (0)

Solution steps

x \to 0 lim (f (x) g (x))

Plug in the value

x = 0

, assuming the function is continuous at this point

= f (0) g (0)

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f (x) = (4 z^{4} + 2 z^{2} + 1) (2 z^{3} - z)

\int - \frac{1}{2 x + 1} d x

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\int (sec^{2} (x) + x) d x

What is the limit as x approaches 0 of f(x)*g(x) ?
The limit as x approaches 0 of f(x)*g(x) is f(0)g(0)