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

The limit as x approaches 0 of (1+3/(x^2))x is diverges

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limit as x approaches 0 of (1+3/(x^2))x

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

diverges

Solution steps

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

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

then the limit does not exist

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

x \to 0 - lim ((1 + \frac{3}{x ^{2}}) x) = - \infty

= diverges

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x \to - 2 lim (3 x^{2} - 2 x + 7)

x \to 0 lim (\frac{1}{2.5})

x \to \frac{π}{2} lim (sin (2 x + π))

x \to 0 lim (csc (x) - tan (x))

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