The graph below is the function f(x)\displaystyle {f{{\left({x}\right)}}}

12345678910-1-2-3-4-5-6-7-8-9-1012345-1-2-3-4-5

Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-oo" if the limit approaches negative infinity.

f(x)\displaystyle {f{{\left({x}\right)}}} has an infinity discontinuity at  

f(x)\displaystyle {f{{\left({x}\right)}}} has jump discontinuity at  

f(x)\displaystyle {f{{\left({x}\right)}}} has a removable discontinuity at