1) Current in a tungsten lamp, i, for various voltages, v, is described as i = kv", where k and n are constants. Using linear regression, find the values of k and n from the following experimental values. [10 marks] v (V) i (mA) a) lim x- 25 117 50 172 2) The following limits deal with the behavior of a function at infinity. Evaluate the following limits, providing with the necessary elaboration on your answers. Support your answers using graphs. (You may use graphing software.) [3x2 marks] 7x++0x +5x+7x (7x+x)(x-1) cos(0x)+0x X+0 2x47 c) lim 2482x40 b) lim b) lim 100 261 x118 3) The following limits deal with the behavior of a function at a finite point. Evaluate the following limits, providing with the necessary elaboration on your answers. Support your answers using graphs. (You may use graphing software.) [3x3 marks] a) lim 7x-16-7+0x-16-0 4-x x+7-7 7x+0 x-2+ 2-x 150 330 c) lim x-0 x