A function f(x) is said to have a jump discontinuity at x=a if: lim_(x-a^(-))f(x) exists. lim_(x-a^(+))f(x) exists. The left and right limits are not equal. Let f(x)={(8x-5, if x=9):} Show that f(x) has a jump discontinuity at x=9 by calculating the limits from the left and right at x=9. lim_(x-9^(-))f(x

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A function f(x) is said to have a jump discontinuity at x=a if:  lim_(x->a^(-))f(x) exists.  lim_(x->a^(+))f(x) exists. The left and right limits are not equal. Let f(x)={(8x-5, if x<9),((1)/(x+9), if x>=9):} Show that f(x) has a jump discontinuity at x=9 by calculating the limits from the left and right at x=9.  lim_(x->9^(-))f(x)=  lim_(x->9^(+))f(x)= Now, for fun, try to graph f(x).

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