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

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

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

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

1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= 1

\int \frac{x ^{2} arctan ( x )}{1 + x ^{2}} d x

\int \frac{1}{x ^{1.8}} d x

\frac{d y}{d x} - cos (x) y = \frac{1}{100} cos (x)

\int sin (x^{2}) x d x

x \to 2 lim (x - 1)

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