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    "markdown": "# test of formatting\n\n``` {.julia .cell-code}\nusing CalculusWithJulia\nusing CalculusWithJulia.WeaveSupport\nusing Plots\n```\n\n\n$$\nf(x) = \\frac{(x-1)^2 \\cdot (x-2)}{(x+3) \\cdot (x-3)}.\n$$\n\n::: {.cell execution_count=2}\n``` {.julia .cell-code}\nf(x) = (x-1)^2 * (x-2) / ((x+3)*(x-3) )\nplot(f, -10, 10)\n```\n\n::: {.cell-output .cell-output-display execution_count=3}\n![](test_files/figure-html/cell-3-output-1.svg){}\n:::\n:::\n\n\nThese values are more commonly expressed using the exponential function as:\n\ninline : ``\\sin(x^2)``\n\ndisplay:\n\n\n$$\n\\frac{\\sin(x^2)}{x}\n$$\n\n\nalign\n\n\n\n$$\n\\begin{align*}\n\\sinh(x) &= \\frac{e^x - e^{-x}}{2}\\\\\n\\cosh(x) &= \\frac{e^x + e^{-x}}{2}.\n\\end{align*}\n$$\n\n\nThese values are more commonly expressed using the exponential function as:\n\n\n$$\n\\begin{align*}\n\\sinh(x) &= \\frac{e^x - e^{-x}}{2}\\\\\n\\cosh(x) &= \\frac{e^x + e^{-x}}{2}.\n\\end{align*}\n$$\n\n\nThese values are more commonly expressed using the exponential function as:\n\n\n$$\n\\begin{align*}\n\\sinh(x) &= \\frac{e^x - e^{-x}}{2}\\\\\n\\cosh(x) &= \\frac{e^x + e^{-x}}{2}.\n\\end{align*}\n$$\n\n\nThese values are more commonly expressed using the exponential function as:\n\n\n$$\n\\begin{align*}\n\\sinh(x) &= \\frac{e^x - e^{-x}}{2}\\\\\n\\cosh(x) &= \\frac{e^x + e^{-x}}{2}.\n\\end{align*}\n$$\n\n",
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