3. For each of the following, give an example of a function f satisfying the giver such a function if you cannot write down one explicitly. (a) lim f(x) = 4 and lim f(x) = -2 1-0- +0+* (b) lim f(x) = 4 and lim f(x) = -0. 1+0+ 1-0- (c) lim f(x)= lim f(x) = ∞o and lim f(x) does not exist (and is not too). I→0+ 1-0-

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A: Find the limit of the given questions.

Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

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Q: (a) lim f(x) x→-∞ (b) lim f(x) x→-2 (c) lim f(x) x→2- (d) lim f(x) x→2+

A: