what is wrong with using symbols?
2x/(√x-2)
the limit as x->4 is 8/0 which is undefined.
In fact, since √x-2 is positive as x->4 from the right and negative as x->4 from the left, it's both unbounded and unequal from left and right.
I think (b) is the better answer, since the "value" from left and right are not really a number; they are undefined.
Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ?
It exists and equals 4
It fails to exist because it is unbounded.
It fails to exist because its one-sided limits are not equal to the same number.
It fails to exist because it oscillates.
1 answer
3 answers