Transcription of 201-103-RE - Calculus 1 WORKSHEET: LIMITS
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201-103-RE - Calculus 1 WORKSHEET: LIMITS
201-103-RE - Calculus 1 WORKSHEET: LIMITS1. Use the graph of the functionf(x) to answer each , orDNEwhere appropriate.(a)f(0) =(b)f(2) =(c)f(3) =(d)limx 0 f(x) =(e)limx 0f(x) =(f)limx 3+f(x) =(g)limx 3f(x) =(h)limx f(x) =2. Use the graph of the functionf(x) to answer each , orDNEwhere appropriate.(a)f(0) =(b)f(2) =(c)f(3) =(d)limx 1f(x) =(e)limx 0f(x) =(f)limx 2+f(x) =(g)limx f(x) =3. Evaluate each limit using algebraic , orDNEwhere appropriate.(a)limx 0x2 25x2 4x 5(b)limx 5x2 25x2 4x 5(c)limx 17x2 4x 33x2 4x+ 1(d)limx 2x4+ 5x3+ 6x2x2(x+ 1) 4(x+ 1)(e)limx 3|x+ 1|+3x(f)limx 3 x+ 1 2x2 9(g)limx 3 x2+ 7 3x+ 3(h)limx 2x2+ 2x 8 x2+ 5 (x+ 1)(i)limy 5(2y2+ 2y+ 46y 3)1/3(j)limx 04 2 cos(x) 5(k)limx 013 +x 13 xx(l)limx 62x+ 8x2 12 1xx+ 6(m)limx x2 2 x2+ 1(n)limx x 2 x(o)limx 76 2x 14(p)limx 1 3 3x(q)limx x4 104x3+x(r)limx 3 x 35 x(s)limx 3x3+x2 2x2+x 2x3+ 1(t)limx x+ 52x2+ 1(u)limx cos(x5+ 1x6+x5+ 100)(v)limx 22xx2 4(w)limx 13xx2+ 2x+ 1(x)limx 1x2 25x2
201-103-RE - Calculus 1 WORKSHEET: CONTINUITY 1. For each graph, determine where the function is discontinuous. Justify for each point by: (i) saying which condition fails in the de nition of continuity, and (ii) by mentioning which type of discontinuity it is. (a) (b) 2. For each function, determine the interval(s) of continuity. (a) f(x) = x2 ...
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