What is the limit as x approaches 0 of x^2+3x+1 ?

The limit as x approaches 0 of x^2+3x+1 is 1

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limit as x approaches 0 of x^2+3x+1

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

1

Solution steps

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

Plug in the value

x = 0

= 0^{2} + 3 \cdot 0 + 1

Simplify

= 1

y^{^{''}} + 4 y^{^{'}} + 3 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

2 y d y = \frac{5}{x} d x

\frac{d}{d x} (\frac{x + 1}{x + 3})

\frac{\partial}{\partial x} (\frac{2}{3} y^{- \frac{1}{3}})

y^{^{'}} = (x + y - 1)^{2}, y (0) = 0

What is the limit as x approaches 0 of x^2+3x+1 ?
The limit as x approaches 0 of x^2+3x+1 is 1