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Homework Statement
evaluate lim2x^2 as x approaches 3 using formal definition (epsilon and delta) of limit
What have you attempted?Homework Statement
evaluate lim2x^2 as x approaches 3 using formal definition (epsilon and delta) of limit
Homework Equations
The Attempt at a Solution
Why |x - 1|? x is not approaching 1 in this limit problem.epsilon> 0 and (|x-1|) <delta....delta equals ??
x^2 - 1 has nothing to do with this problem.delta= a fraction of epsilon so that it is less than x^2 - 1?
You know that the limit is 18, now you have to find a sufficient interval for your "inputs" x so that any x you pick out of that interval (a - delta , a + delta ) or in this case ( 3 - delta, 3 + delta) will be "close enough" to your limit 18. We only know that the limit is 18 because we know that the function gets closer and closer to 18 as you get closer to 3. So appropriately, find an interval where you CAN see values that are extremely close to 18.limit is 18.....I am just confused with this whole process.....