Consider f: (0, 2)→ R defined by f(x)=x". Assume that f has a limit at 0 and find that limit. (Hint: Choose a sequence (x)-1 converging to 0 such that the limit of the sequence (f(x)} is easy to determine.)

Q: 2. Use the ɛ-d definition of the limit of a function to prove that lim = 3. I-»3 T – 2

A: Let  I  be an open interval containing  c , and let  f  be a function defined on  I , except…

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A: To evaluate the following limit. limy→2 6y2-18y2y-13

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Q: (b) lim (r + 1) In x

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