InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Show that the funcation ` f(x) = {{:( sinx",", if , x lt 0),( x"lt", if, x ge 0):} ` is continuous. |
|
Answer» Let ` at ne R` Case I When ` a gt 0 , " then ", lim_( x to a+) f(x) = lim_( x to a-) f(x) = f(a) =a` Case II When ` a gt 0 , " then " lim_( x to a+) f(x) = lim_( x to a-) f)(x) = f(a) = sin a` Case III When ` a = 0 "then " , lim_( x to 0+) f(x) = lim_( x to 0-) f(x) = f(0) =0` |
|