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Jaye

Calculus 1 Final Exams.

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STUYVESANT HIGH SCHOOL MATHEMATICS DEPARTMENT Stanley Teitel, Principal Daniel Jaye, A. P. S. MAXX FINAL EXAMINATION January, 2003 Calculators are NOT permitted on this examination. Part I. Answer all questions on the NCS (SCANTRON) answer sheet (3 points each). 1. 4 23lim 2 2 2 ? +? ? x xx x = (A) 0 (B) 4 1 (C) 2 1 (D) 2 (E) ? 2. ? ? ? 2 3sinlim 0? = (A) 6 1 (B) 2 1 (C) 3 2 (D) 2 3 (E) 6 3. Let ?? ?? ? ?>+ ??? = 2 2 1 222 )( 2 xifkx xifx xf . If f is continuous at x = -2, then k = (A) -2 (B) 0 (C) 2 (D) 5 (E) 7 4. 34 13lim 2 ? + ??? x x x = (A) 0 (B) 2 3 (C) 2 3 ? (D) 4 3 (E) 4 3 ? 5. h h h 32)2(lim 5 0 ?+ ? (A) 0 (B) 16 (C) 64 (D) 80 (E) 120 6. The slope of the tangent line to the graph of y = sin(3x) at ??
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