Choose one of the factors of 27x3 + 512y3
2 answers:
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Answer:
The function is continuous for all real numbers
Step-by-step explanation:
To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.
The denominator is:
Then we equal 0 and clear x
for any real number.
This means that
<em>for all reals numbers</em>.
Therefore, the function is <em>continuous</em> for all real numbers, that is, it does not have discontinuities.
The graphic of this function is shown in the image
