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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

= 1 + \frac{1 - 1}{1 ^{2}}

Simplify

= 1

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

x \to 0 lim (x + cos (x))

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

x \to 2 + lim (\frac{2 x}{x ^{2} - 4})

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

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