Topic: Limits and Continuity

Enter the exact answer. If the limit does not exist, enter NA. 1.) Vx2 + 64 - 8 lim- x-0 2.) Let 1 - 4, 1 4 Find the following limits. Type NA in case the limit is undefined. (a) limg(t) = 1-+0" (b) limg(t) = (c) limg(t) = 1 4 3.) Given that lim f(x) = 7, lim g(x) = - 8, lim h(x) = 0 Find a value of the constant k, if possible, that will make the function continuous everywhere. Enter the exact answers. find the limits. 12x - 4, xSI x > 1 Enter the exact answers 4.) (2)f(x) =12 4 = 1 *5 2 (a) lim[f (x) + 4g(x)] = i (b ) f ( x ) = Axtk , x k = (b) lim[h(x) - 4g(x) + 6] = i (c) limIf(x)g(x)] = i (d) lim[g(x)]2 = i (e) lim (20 + f (x) = i (f) lim 2 x-a g(x)