What is the limit as x approaches infinity of 1/x*0 ?

The limit as x approaches infinity of 1/x*0 is 0

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limit as x approaches infinity of 1/x*0

x \to \infty lim (\frac{1}{x} \cdot 0)

0

Solution steps

x \to \infty lim (\frac{1}{x} \cdot 0)

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (\frac{1}{x}) \cdot x \to \infty lim (0)

x \to \infty lim (\frac{1}{x}) = 0

x \to \infty lim (0) = 0

= 0 \cdot 0

Simplify

= 0

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

x \to 0 lim (x (\frac{2}{x}))

x \to - 2 lim (\frac{x ^{3} + 8}{x + 8})

x \to 0 lim (\frac{1}{csc ^{3} ( x )})

x \to 0 lim (x sec (x))

What is the limit as x approaches infinity of 1/x*0 ?
The limit as x approaches infinity of 1/x*0 is 0