What is the limit as x approaches 0 of 1/x*5x^3+3 ?

The limit as x approaches 0 of 1/x*5x^3+3 is 3

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limit as x approaches 0 of 1/x*5x^3+3

x \to 0 lim (\frac{1}{x} \cdot 5 x^{3} + 3)

3

Solution steps

x \to 0 lim (\frac{1}{x} \cdot 5 x^{3} + 3)

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

With the exception of indeterminate form

= x \to 0 lim (\frac{1}{x} \cdot 5 x^{3}) + x \to 0 lim (3)

x \to 0 lim (\frac{1}{x} \cdot 5 x^{3}) = 0

x \to 0 lim (3) = 3

= 0 + 3

Simplify

= 3

x \to 0 lim (\frac{( x - 2 ) ^{3} + 8}{x})

x \to 1 lim (2 - 2 1 - x)

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

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

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

What is the limit as x approaches 0 of 1/x*5x^3+3 ?
The limit as x approaches 0 of 1/x*5x^3+3 is 3