Question: (a) (i) Let f:JR be a real function defined on the non-empty open interval JR. Define what it means for f to have limit L

(a) (i) Let f:JR be a real function defined on the

(a) (i) Let f:JR be a real function defined on the non-empty open interval JR. Define what it means for f to have limit L at the point aJ. (ii) Using this definition, show that the function f:RR given by f(x)=x2+2x+1 satisfies limx2f(x)=9. (b) (i) State the Intermediate Value Theorem. (ii) Prove that the equation x2+xcosx=0 has a solution in [0,1]. (iii) Why must this solution be unique

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