What is the limit as x approaches 5 of (2x^2-11x+5)/(x-5) ?

The limit as x approaches 5 of (2x^2-11x+5)/(x-5) is 9

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limit as x approaches 5 of (2x^2-11x+5)/(x-5)

x \to 5 lim (\frac{2 x ^{2} - 11 x + 5}{x - 5})

9

Solution steps

x \to 5 lim (\frac{2 x ^{2} - 11 x + 5}{x - 5})

Simplify

\frac{2 x ^{2} - 11 x + 5}{x - 5} : 2 x - 1

= x \to 5 lim (2 x - 1)

Plug in the value

x = 5

= 2 \cdot 5 - 1

Simplify

= 9

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

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

t \to 4 lim (\frac{t - 3 t + 4}{4 - t})

x \to 0 lim (cos (x))

x \to 1 - lim (\frac{5}{x - 1})

What is the limit as x approaches 5 of (2x^2-11x+5)/(x-5) ?
The limit as x approaches 5 of (2x^2-11x+5)/(x-5) is 9