Question 5 to 7

5. Does a value of k exist such that the following limit exists? 3x2 + kx - 5 lim r-1 x2 + 6x - 7 If so, find the value of k and the corresponding limit. If not, explain why. 6. Construct a table of values of the function f(x) = sin near x = 0 and use this to guess the value of lim sin(x) 7. Consider the following graph of f (x): 3 THE UNIVERSITY OF BRITISH COLUMBIA OKANAGAN MATH 116- Calculus I Calculate the following values or explain why they do not exist. a) f (- 2 ) b) lim f(x) c) lim f(x) d) lim f(x) I- - 2 e ) f ( -1 ) f) lim f(x) g) lim f(x) h ) x-+-1- lim f(x) i ) f(0 ) j) lim f(x) k) lim f(x) 1) lim f(x) m) f(2 ) n) lim f(x) O) lim f(x) T-+2+ 1-+2- p) lim f(x)