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# Calculus/Question

Question
Find the limit of (x^2-a^2)/x^(4)-a(4) when x->a (x approaches a, I believe). A cannot/doesn't equal 0.

Take b = x^2 and c = a^2.
This is then (b-c)/(b^2 - c^2).

It is known that b^2 - c^2 = (b-c)(b+c).

The (b-c)/(b-c) cancels out, leaving 1/(b+c).

Since b=x^2 and c=a^2, as x approaches a, the b term approaches the c term.
That answer, then, is 1/(2c) = 1/(2a^2).

Calculus

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#### Scotto

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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology (reproduction, insusion of chemicals into bloodstream).

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Experience in the area: I have tutored students in all areas of mathematics since 1980. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

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