General Calculus (pakiayos po yung sagot yung naiintindihan po salamat)

EXERCISES Evaluate the limits of the following 1.lim (t+1)2 t-1 2(t2+3) 2. lim x-+x-12 X-3 2x2-7x+3 4. lim sin kx X-0 X 5. lim Vx-2 x-2 Vx2-4 6. lim -3-9x+10 X-2 x2-4Exercises: 1. Find each of the following limits (show your work): a) lim 47 x - 2x 3-x b) lim c) lim x-+3 X-3 x+3 x->3x-+2x -15 X d) lim X e) lim f) lim X rix-1 xx-1 xx-1 2. Consider the following function: f(x) = x , if x20 x -2, if x2 d) Is the function continuous at x = 01 3. Is f (x) = if x *-1 x+1 continuous at -1 ? If not, is the discontinuity removable? 17 if x = -1 4. Is there a value of k that makes the function g continuous at x = 0? If so, what is that value? x - 2, if x50 g(x) =. k(3 - 2x) if x>0