What is the limit as x approaches 0 of (x^5+4x)/x ?

The limit as x approaches 0 of (x^5+4x)/x is 4

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limit as x approaches 0 of (x^5+4x)/x

x \to 0 lim (\frac{x ^{5} + 4 x}{x})

4

Solution steps

x \to 0 lim (\frac{x ^{5} + 4 x}{x})

Simplify

\frac{x ^{5} + 4 x}{x} : x^{4} + 4

= x \to 0 lim (x^{4} + 4)

Plug in the value

x = 0

= 0^{4} + 4

Simplify

= 4

f (x) = \frac{1}{3} (x^{2} + 2)^{\frac{3}{2}}

x \to - 1.1 lim (\frac{1}{x ^{2}})

\frac{\partial}{\partial x} (\frac{( 3 x - 2 y )}{3 x + 2 y})

\frac{x ^{2}}{x - 2}

81 y^{^{''}} + 72 y^{^{'}} + 16 y = 0

What is the limit as x approaches 0 of (x^5+4x)/x ?
The limit as x approaches 0 of (x^5+4x)/x is 4