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

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

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

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

- 2

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= - 2

\frac{d}{d x} (\frac{x y}{x ^{2} + y ^{2}})

\int t^{3} e^{t^{4}} d t

y^{^{''}} + 16 y = 2 sec (4 t)

f (x) = \frac{9}{x}

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