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

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

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

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

- \frac{3}{2}

Decimal Notation

- 1.5

Solution steps

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

Plug in the value

x = - 1

= \frac{3 ( - 1 )}{( - 1 ) ^{2} + 1}

Simplify

\frac{3 ( - 1 )}{( - 1 ) ^{2} + 1} : - \frac{3}{2}

= - \frac{3}{2}

\frac{\partial}{\partial x} (6 x y - 6 x)

x \to 7 lim (4 x)

\frac{d}{d x} (- x^{2} - 4 x + 4)

x^{2} y^{^{''}} - 3 x y^{^{'}} - 2 y = 0

x \to - \frac{π}{3} lim (- sec (x))

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