What is the limit as x approaches 0 of x/a [ b/x ] ?

The limit as x approaches 0 of x/a [ b/x ] is b/a

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limit as x approaches 0 of x/a [ b/x ]

x \to 0 lim (\frac{x}{a} [\frac{b}{x}])

\frac{b}{a}

Solution steps

x \to 0 lim (\frac{x}{a} [\frac{b}{x}])

Simplify

\frac{x}{a} [\frac{b}{x}] : \frac{b}{a}

= x \to 0 lim (\frac{b}{a})

x \to a lim c = c

= \frac{b}{a}

x \to 5 lim (\frac{- 3 x}{x + 5})

x \to - 2 lim ([x])

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

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

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

What is the limit as x approaches 0 of x/a [ b/x ] ?
The limit as x approaches 0 of x/a [ b/x ] is b/a