2. Let g : R → R be a bounded function and define f : R\ {0} → R by 1 f(x) = g(x)+ x2 Using only the definition above, and without using any limit rules, prove that f(x) → +∞ as x → 0.

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A: Consider the function Then and The graph of the function is shown below,

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Q: 3. Let z € R" be denoted by x = (₁, 2,...,n) and || x ||:= √√x² + x² + +x². Let f: RR be defined by…

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