What is the limit as x approaches 0 of (6x^2)/(x^2) ?

The limit as x approaches 0 of (6x^2)/(x^2) is 6

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limit as x approaches 0 of (6x^2)/(x^2)

x \to 0 lim (\frac{6 x ^{2}}{x ^{2}})

6

Solution steps

x \to 0 lim (\frac{6 x ^{2}}{x ^{2}})

Cancel the common factor:

x^{2}

= x \to 0 lim (6)

x \to a lim c = c

= 6

\frac{\partial}{\partial x} (e^{- x^{5} - y^{3}})

y + 2 y^{^{'}} + 5 y = 4 \cdot e^{- t} \cdot cos (2 t)

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

u \to 2 + lim (u^{2})

\frac{d ^{2} y}{d x ^{2}}

What is the limit as x approaches 0 of (6x^2)/(x^2) ?
The limit as x approaches 0 of (6x^2)/(x^2) is 6