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- Use the definition of a limit to show that (i) limx→0 (x^2 + 6x + 9) = 9 (ii) limx→−7 and 1/(x+7)^4 = ∞ (iii) limx→0+ (lnx = −∞) (iv)limx→4 (x/2− 2) = 0 (v) limx→0 (2x + 9) = 9 Please solve all partsUse the formal definition of limit ( ε-δ-definition) to show that lim x -> 2 for (5x-3) =7 and lim x -> 1 for (x2+2x) = 3Why is L’Hospital’s rule useful for finding the limits? Can it be used in every situation? Please justify your answer?