What is the limit as x approaches 1 of (2-7x)/(x+6) ?

The limit as x approaches 1 of (2-7x)/(x+6) is -5/7

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limit as x approaches 1 of (2-7x)/(x+6)

x \to 1 lim (\frac{2 - 7 x}{x + 6})

- \frac{5}{7}

Decimal Notation

- 0.71428 \dots

Solution steps

x \to 1 lim (\frac{2 - 7 x}{x + 6})

Plug in the value

x = 1

= \frac{2 - 7 \cdot 1}{1 + 6}

Simplify

= - \frac{5}{7}

5 lo g_{10} (x)

y^{^{''}} - 7 y^{^{'}} = 49 t, y (0) = 7, y^{^{'}} (0) = 0

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

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e^{- 4 x}, y (0) = - 2, y^{^{'}} (0) = 1

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

What is the limit as x approaches 1 of (2-7x)/(x+6) ?
The limit as x approaches 1 of (2-7x)/(x+6) is -5/7