1.2.6 Exercises Evaluate the following limits. Show your complete solutions. 1. 3. 5. Challenge Question: p - 16 472 - 1 lim lim P-2 p2 - 4 r-+ 1 2r - 1 lim eth - vx 2. 4. h-+0 h lim 1 + 27 s +3 - 2 9--3 93 + 3 lim 8-+1 8 - 11.1.6 Exercises Evaluate the following limits. Show your complete solutions. 3. 5. p'+p-1 lim (y - 1)(y - 2)2 lim x3 + 6ry + y pv3p2 - p+1 lim I-+2 x2 + y 4. 2. 22 + 1 V50 - 72 lim 23- 1 lim 4r1.3.8 Exercises Evaluate the following limits. Show your complete solutions. 1. 3. 5. Challenge Question: sin (612 lim cos (4z) - 1 lim 2-+0 22 lim 1 + 1-+00 T 2. 4. y" - 1 t-1 lim lim 1-+00 Vi + 11.4.6 Exercises Differentiate the following functions using the definition of a derivative as a limit f'(x) = f(x + Ax) - f(x) lim . Show your complete solutions. Ac-+0 1. 3. 5. Challenge Question: f(x) = x' +2r h(z) = Vz+5 2. 4. g(y) = y'+3 P(t) = t+ Vt Q ( s ) = J