So the limit of √x as x becomes bigger (approaches infinity) is equal to infinity. However, while it can approach infinity, it can never actually be infinity. It's not an actual, number it's just an idea of numbers growing forever (infinitely).

An easier to understand example is y = 1 / x, if we look at what happens, as x becomes smaller, the result will become bigger.
1 / 1 = 1
1 / 0.1 = 10
1 / 0.01 = 100
1 / 0.00001 = 100000
etc ...

Theoretically, as x becomes closer and closer to 0, the result (y) will just keep becoming bigger and bigger infinitely. And, so it is said that the limitis equal infinity.But, it will never actually be infinity, because dividing by zero is undefined.

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