Mathematics

Mathematics

Problem

Let hh be a function whose graph coincides with the straight line y=2x+1y=2x+1 at every point except x=2x=2. At x=2x=2, the graph shows only the single plotted point (2,5)(2,5). (i) Find lim⁡x→2h(x)\displaystyle\lim_{x\to2}h(x). (ii) State the value of h(2)h(2). (iii) Are the two values obtained in (i) and (ii) equal? a. (i) lim⁡x→2h(x)\displaystyle\lim_{x\to2}h(x) b. (ii) h(2)h(2) c. (iii) Comparison of the two values

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