What is the limit as x approaches 0 of (4-x)/(2+7x) ?

The limit as x approaches 0 of (4-x)/(2+7x) is 2

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limit as x approaches 0 of (4-x)/(2+7x)

x \to 0 lim (\frac{4 - x}{2 + 7 x})

2

Solution steps

x \to 0 lim (\frac{4 - x}{2 + 7 x})

Plug in the value

x = 0

= \frac{4 - 0}{2 + 7 \cdot 0}

Simplify

= 2

x \to 1 lim (x^{2} - 2 x - 3)

x \to 4 - lim ([5 x - 2])

x \to 4 lim (3 x - 4)

x \to 4 lim (x^{2} + 4)

x \to 4 lim (3 x + 7)

What is the limit as x approaches 0 of (4-x)/(2+7x) ?
The limit as x approaches 0 of (4-x)/(2+7x) is 2