Consider the function f : [-1, √10] → R defined by { 10 8 6 T 2 0 -1 f(x) = r², r>2; x≤ 2. I Answer each of the following questions on the discontinuity of f. (a) Compute and compare lim+2+ f(x) and lim, 2- f(x). (b) By using the - definition, explain why lim-2 f(x) does not exist. (c) Consider the set (0,5). Find the preimage f-¹((0.5)) and use the topological characterization of continuous functions.

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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A: Here I am attaching image so that you understand each and every step.

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A: Answer is true.  Using L hopital rule.

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A: Topic :- limits

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