What is the limit as x approaches 3 of (3x^2+5x+1)/x ?

The limit as x approaches 3 of (3x^2+5x+1)/x is 43/3

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limit as x approaches 3 of (3x^2+5x+1)/x

x \to 3 lim (\frac{3 x ^{2} + 5 x + 1}{x})

\frac{43}{3}

Decimal

14.33333 \dots

Solution steps

x \to 3 lim (\frac{3 x ^{2} + 5 x + 1}{x})

Plug in the value

x = 3

= \frac{3 \cdot 3 ^{2} + 5 \cdot 3 + 1}{3}

3 \cdot 3^{2} + 5 \cdot 3 + 1 = 43

= \frac{43}{3}

x \to \infty lim (3 x + 3)

x \to 3 - lim (\frac{12}{x - 3})

x \to \frac{7 π}{2} + lim (x sec (x))

t \to 0 lim (\frac{4}{11 + t})

x \to 0 lim (\frac{x ^{3} + 1}{x ^{2}})

What is the limit as x approaches 3 of (3x^2+5x+1)/x ?
The limit as x approaches 3 of (3x^2+5x+1)/x is 43/3