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Find the point at which the following function $f:\\mathbb{R} \\rightarrow \\mathbb{R}$ is not continuous.
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\n\nThe function is discontinuous at $x=\\var{dis}$.
\nAt $x=\\var{dis}$ we have:
\n\\[\\lim_{x \\nearrow\\; \\var{dis}} f(x) \\neq \\lim_{x \\searrow\\; \\var{dis}} f(x)\\]
\n\n\nSee graph of $f$ above.
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\n | \n | |
$\\simplify{{q1}*x+{p+er1-q1*a}},$ | \n$\\var{a} \\lt x \\leq \\var{b},$ | \n|
\n | \n | |
$\\simplify{{q2}*x^2+{-2*q2*b}*x+{q2*b^2+q1*(b-a)+p+er1+er2}},$ | \n$\\var{b}\\lt x \\leq \\var{c},$ | \n|
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$\\var{q2*(c-b)^2+q1*(b-a)+p+er1+er2+er3},$ | \n$x \\gt \\var{c}.$ | \n
$f$ is discontinuous at $x=a$ where $a=\\;$[[0]].
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