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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\int_{0}^{1} \frac{3 x ^{2}}{1 + x ^{3}} d x

x^{2} y^{^{''}} - 3 x y^{^{'}} + 5 y = 0

f (x) = 2 x^{2} - 9 x + 10, at x = 2

\frac{d}{d x} (x arcsin (x))

tan (1 + e^{2 t})

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