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- i. Using Arithmetic of Limits, find limn→∞ 2n / (3n + 5).ii. Working directly from the definition of limits, give a direct verification that your answer in (i) is correct. (Your answer should involve the letter ε.)1. Is it possible that f(2) = 5 but limx→2f(x) = 7? If so, what kind of function can satisfy this?lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 / ( 5f(x)^(2/3) )