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If f(x)={{:(mx^(2)+n",",xlt0),(nx+m",",0lexle1),(nx^(3)+m",",xgt1):}. For what integers m and n does both lim_(xrarr0)f(x) and lim_(xrarr1)f(x) exist?

Answer»


ANSWER :For `lim_(xrarr0)f(X)` to EXISTS, we need `m=N;lim_(xrarr1)f(x)` exists for any INTEGRAL value of m and n.


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