How do you prove that the function f ( x ) = x 2 + x x is not continuous at a =0?

Question

How do you prove that the function             f              (        x        )              =                            x          2                +        x                    x             is not continuous at a =0?

Macie Melton · Accepted Answer

f is not continuous at 0 because 0                    ∈                        D      f      The domain of                               x          2                +        x            x       is       ℝ         =    ℝ    -          {      0      }

Ronnie Rojas · Accepted Answer

Let&#039;s plug in 0 for x and see what we get:                    0        +        0            0        =                            0          0                    What I have in blue is indeterminate form. We have a zero in a denominator, which means this expression is undefined.

How do you prove that the function f(x) = [x^2 + x] / [x] is not continuous at a =0?

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