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# 8- Continuous Functions

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Department
Mathematics
Course
MAT135H1
Professor
All Professors
Semester
Summer

Description
Continuous  Functions       Recall  the  definition  of  a  continuous  function:     A  function  f(x)  is  continuous  at  x=  a  if  f(a)  is  defined  and  lim   x-­‐>  af(x)=  f(a).  the  function  is   continuous  at  a  means:     • F(x)  is  defined  at  x=a   • lim  x-­‐>  a f(x)  exists   • The  two  values  are  equal     The  Limit  Laws  imply  that  the  following  types  of  functions  are  continuous  at  every  point  in   their  domains:   • Polynomials  (including  lines  and  constant  functions)   • R
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