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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

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

x \to \frac{π}{4} lim (tan (3 x))

x \to 0 + lim ((e^{x} - x)^{\frac{1}{x}})

x \to 0 lim (\frac{5 ^{x} - 2 ^{x}}{x})

h \to 0 lim (\frac{ln ( 3 + h ) - ln ( 3 )}{h})

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