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

The limit as x approaches 1 of ((1))/((1+x))-((3))/((1-x^{(3)))} is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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