Business Calculus I (Math 221) Exam 1
Business Calculus I (Math 221) Exam 1
Business Calculus I (Math 221) Exam 1
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Problem 2 (12pts). Evaluate these limits. If a limit does not exist (DNE), you must justify.<br />
Show all work!<br />
(a) lim<br />
x→4<br />
x 2 −x−12<br />
x−4<br />
(b) lim<br />
x→2<br />
x−2<br />
|x−2|<br />
(c) lim<br />
x→∞<br />
5x 3 −3x 2 +10<br />
−4x 3 +x 2<br />
Problem 3 (6pts). For what value of c (if any) is the function f(x) continuous at x = 1?<br />
Justify your answer. ⎧<br />
⎪⎨ x+ 3 x < 1<br />
x−2<br />
f(x) = c x = 1<br />
⎪⎩<br />
x 2 −3x x > 1
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