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 4x 5(y)limx 3 x2 5 + 2x 3(z)limx 02x+ sin(x)x4(A)limx 1 1x 1+ex2(B)limx 2x2 3x(C)limx 0 x+ 2 2 xx(D)limx 0+ex1 + ln(x)(E)limx x2+ 1 2x(F)limx 13 x 1 x 14.
3. For each piecewise de ned function, determine where f(x) is continuous (or where it is discontinuous). Justify your answer in detail. (a) f(x) = ˆ 2x 3x2 for x 1 log 10 (x) + x for x > 1 (b) f(x) = 8 <: 2x 3 x for x 0 x2 3 for 0 < x < 2 x2 8 x for x > 2 4. Find all the value(s) of the parameter c (if possible), to make the given function ...
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