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- If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).Lets f(x)=2x+2. Evaluate Lim h tends to 0 (f(4+h)-f(4))/h (refer to the picture attached)For f(x) = −x^3 + 1/2x + 8evaluate limx→∞ f(x) and limx→−∞ f(x). Then give thehorizontal asymptote of f (if any). (a) Graph f(x)=(1−x^2, x≠1)(2, x = 1)(b) Find limx→1+ f(x) and limx→1− f(x).(c) Does limx→1 f(x) exist? If so, what is it? If not, why not?
- For the function f(x) = (x+1)2x-3 (d) Determine limx→±∞ f(x).(e) Determine all vertical and horizontal asymptotes.(f) If f has a vertical asymptote at x = a then determine limx→a+ f(x) and limx→a− f(x)if these limits existfind the lim as x approaches infinity where f(x) is (5x^(2)+2)/(2x^(2)-2x-8)Evaluate lim as x approaches negative infinity 3e^2x + 4e^-x / e^2x - 2e^-x .