Kumon Level N Test 22 Correctly Answered Questions Latest Update

16. lim (a^x -a^-x)/(a^x +a^-x) = (a>0) {Ans: lim a2x-1/a2x+1 (apply limit of ax for all three) 01, lim ax =positive infinity, limit 1}3. Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and whose 14th term is 24. {Ans: a+4d=-3, a+13d=24, a=-15, d=3 72}2 Graph the region satisfying the given system of inequalities, and then state the range of values x and y x-y+1 ≥ 0 5-2x-y ≥ 0 {Ans: all real numbers for x, y ≤ 7/3}5. 4 Σ (3k - 2) = k=1 {Ans: 22}19. Draw the graph of the function defined by the following limit, and determine the continuity. f(x)= lim (x^n-1)/(x^n+1) {Ans: |x|<1, lim =-1 |x|>1, lim 1 x=1 lim 0 Discontinuous at x = ±1 and continuous everywhere else.}12. Evaluate the following limit when r>0 lim r^n+2/r^n + 1/r^n {Ans: lim (1+2*1/rn)/(1+1/r2n), lim r2n+2rn/r2n+1 r>1, limit 1 r=1, limit 3/2 0