4x+14=-3x? how does this work? I got -4.25x but i don't think that's right.
2 answers:
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Factorize the denominator:
Then we find that ...
• When <em>c</em> = 15,
because the factors of <em>x</em> - 15 in the numerator and denominator cancel with each other. More precisely, we're talking about what happens to <em>f(x)</em> as <em>x</em> gets closer to 15, namely when <em>x</em> ≠ 15. Then we use the fact that <em>y</em>/<em>y</em> = 1 if <em>y</em> ≠ 0.
• When <em>c</em> = 16,
which is undefined; so this limit does not exist.
• When <em>c</em> = 17,
because the function is continuous at <em>x</em> = 17.
