{
  "icon" : "sum",
  "id" : "3E6F6429-745B-50E8-A5DD-B814156ED5FF",
  "lines" : [
    {
      "id" : "E5A019C3-4DF2-5B9A-8DF0-FECE323BDB3D",
      "source" : "# Limits"
    },
    {
      "id" : "D8712E8A-00EF-5054-A30C-2AF9954A82C4",
      "source" : "\/\/ What does sin(x)\/x approach as x approaches 0?"
    },
    {
      "id" : "A38C4968-9EC9-5881-BEE9-1C3DA84EEC9B",
      "source" : "f(x) = sin(x)\/x"
    },
    {
      "id" : "A3002BBD-4FBE-57E4-98EF-D9B1E4A4E7A7",
      "source" : "f(0.1)"
    },
    {
      "id" : "19C8F73D-5CA1-527D-BC4C-89A4609A1FE5",
      "source" : "f(0.01)"
    },
    {
      "id" : "6F7C050D-5528-525D-A27E-D9B8C992088F",
      "source" : "f(0.001)"
    },
    {
      "id" : "C483C984-99E1-55F9-A52E-19FBBE5E99E4",
      "source" : "limit(sin(x)\/x, x, 0)"
    },
    {
      "id" : "99F0912E-3171-54D8-B9F7-C0EC7231A9B5",
      "source" : ""
    },
    {
      "id" : "58222F75-11D3-512E-9DDD-F06A9276D53A",
      "source" : "# Derivatives"
    },
    {
      "id" : "C6DB11D7-98E3-5396-8E93-43FC446FA505",
      "source" : "\/\/ The slope of the tangent line."
    },
    {
      "id" : "D2DC3EAB-4166-50F2-B513-AB233283EFB7",
      "source" : "g(x) = x³ - 3*x"
    },
    {
      "id" : "8A26EFA5-51BC-5D31-9A65-5B20939EA17D",
      "source" : "derivative(g(x), x)"
    },
    {
      "id" : "8D83886A-F10C-5845-A51B-E2C616493674",
      "source" : "a = 2 in -2 … 2"
    },
    {
      "id" : "93910041-37C4-55E9-9323-C6905822FDBD",
      "source" : "slope at a = derivative(g(x), x, a)"
    },
    {
      "id" : "0DE909D3-A846-546B-86EB-47D9BB37DA06",
      "source" : "slope at a == 3*a² - 3"
    },
    {
      "id" : "8546E057-A907-5307-946C-ABF99DF2CDF1",
      "source" : "plot(g(x), x, -2.5, 2.5)"
    },
    {
      "id" : "31CF8F17-4C29-5F3D-8632-211EEED63ECB",
      "source" : ""
    },
    {
      "id" : "129AAE25-91A8-5562-A1C4-F3A0EB988777",
      "source" : "# Integrals"
    },
    {
      "id" : "A42809ED-52E3-597D-ABFD-D107770EBD02",
      "source" : "\/\/ The area under a curve."
    },
    {
      "id" : "A9D7FE59-C225-574E-846E-3D8473F5C467",
      "source" : "h(x) = x²"
    },
    {
      "id" : "1A135FF0-A892-50A3-B56F-8C41D0FF81F9",
      "source" : "integral(h(x), x, 0, 1)"
    },
    {
      "id" : "6D179D11-2B67-5CD7-ACAB-A70B1FA8AB6C",
      "source" : "integral(h(x), x, 0, 1) == 1\/3"
    },
    {
      "id" : "9CA63DF8-21C0-5DD6-869D-D57EC1D300B3",
      "source" : "integral(sin(x), x, 0, π)"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
    "grouping" : ",",
    "secondaryGroupSize" : 3
  },
  "title" : "Limits, derivatives, integrals"
}