What is the limit as x approaches 4 of (2x+7)/(x+1) ?

The limit as x approaches 4 of (2x+7)/(x+1) is 3

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limit as x approaches 4 of (2x+7)/(x+1)

x \to 4 lim (\frac{2 x + 7}{x + 1})

3

Solution steps

x \to 4 lim (\frac{2 x + 7}{x + 1})

Plug in the value

x = 4

= \frac{2 \cdot 4 + 7}{4 + 1}

Simplify

= 3

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

x \to 2 lim (x^{2} - 9)

h \to 0 lim (3 h^{2})

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

x \to 0 lim (x^{7} cos (\frac{2}{x}))

What is the limit as x approaches 4 of (2x+7)/(x+1) ?
The limit as x approaches 4 of (2x+7)/(x+1) is 3