1) Use the precise epsilon-delta definition of the limit to prove that the limit as x2 of f(x)=4x+1 is equal to 9. 2) True or False: If limit as x0 of f(x) equals zero then f(0)=0. If false provide an illustrative example to support your conclusion. 3) Compute the limit as x3 of f(x)= (x^2-5x+5)/(x-1), if possible 4) Compute the limit as x1 of f(x)=(x^2-5x+4)/(x-1), if possible 5) Compute the limit as x0 of f(x)=[(9+x)^(1/2)-3]/x, if possible 6) Determine the horizontal asymptotes, if any, of: a) f(x)=(x+1)/(x^2+2x+8) b) f(x)=(x^2+x+1)/(x-6) c) f(x)=(2x+1)/(3x-2) 7) Find the vertical asymptotes of f(x)=(x^2-7x+12)/(x^2-5x+6). Make sure to explain your conclusions accurately. 8) Compute the limit as x0 of f(x)=(sin(61x))/x, if possible. 9) Could the limit as x1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the function? Explain your conclusion. 10) For the function in problem 7, write the intervals on which the function is continuous. 11) What is the relationship between functions whose limits can be obtained by direct substitution and the definition of continuous function