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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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)

x \to 0 lim ((\frac{1 + x}{x})^{2} - 1)

x \to \infty lim (\frac{x}{θ})

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

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

x \to 1 - lim (ln (x) \cdot ln (1 - x))

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)