please solve these problems and show me your work!

Compute the following limit assuming lim f(x) = 7. State the limit law(s) used to justify the computation. X-3 lim [5f(x)] X->3 Choose the correct answer below A. lim [5f(x)] = by constant multiple law of limit. X-3 (Simplify your answer.) B. lim [5f(x)] = by power law of limit. X->3 (Simplify your answer.)Part 1 of 2 x4 + 9x + 14 Explain why lim x4 + 9x + 14 X- -7 x +7 lim (x + 2), and then evaluate lim X-> -7 X-> -7 X +7 Choose the correct answer below. O A. Since each limit approaches - 7, it follows that the limits are equal OB. X4 + 9x + 14 The limits lim and lim (x + 2) equal the same number when evaluated using direct substitution. X- -7 X +7 X- - 7 O C. x2 + 9x + 14 The numerator of the expression simplifies to x + 2 for all x, so the limits are equal. X + 7 O D. x2 + 9x + 14 Since X + 7 = x + 2 whenever x # - 7, it follows that the two expressions evaluate to the same number as x approaches - 7.For what values of a does lim r(x) = r(a) if r is a rational function? X-a Choose the correct answer below Q A. Those values of a for which the denominator of the function r is not zero )B. Those values of a for which the numerator of the function r is not zero C. Those values of a for which the denominator of the function r is zero. D. Those values of a for which the numerator of the function r is zero