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- Find the limit or determine that the limit does not exist limx→0 (1/(x 3 √1+x)-(1/x))1 + x is all under the square root (x3 √1+x)is all in the denominator under 1 however -(1/x) is another fraction in the function.1- let f(x)= |x^2-4|/(x+2). Determine the limit lim_{x->-2} f(x), if it exist. 2- determine the limit lim_{h->0}[(x+h)2-x^2]/h by treating x as a constant. 3- dtermine the lim_{x->0} cos(2x)/x 4-determine the limit_{x->0} sin(2x^2)/xtan(4x)Prove the lim(Sn) = -∞ case.