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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 + lim (tan (x) (ln (x)))

x \to 1 + lim (x^{\frac{6}{( x - 1 )}})

x \to 0 + lim (\frac{x}{sin ( 8 x )})

x \to - 3 lim (5 x + 9)

x \to 0 lim (\frac{sin ^{1} ( x )}{x})

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