4. (10 pts) Evaluate the following limits: (a) lim h0 16+h - 4 h (b) limusin 10
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
9-24 Evaluate the limit, if it exists. 2 - 6x + 5 9. lim 10_lim x² - 4x 3-4 x - 5 why. - 5x4+ 6 -5 2r² + 3xunt 12. lim 1-1 r2 - 2x 13. lim 21,7t + 3 14. lim -182 - 3x - 4 4 + 12 – 16 15 lim 16. lim h 0 (2 + h): - 8 h 1 + 1 - 1 h 17. lim -27 + 8 18. lim h 0
1. Evaluate each of the following limits: (4 pts ea) b) lim 2- a) lim VF-1 bilim 7-x
Question 12 Evaluate: lim, -70+ 6 cot 2 3+CcE 16 2 - 1 8 DA Sc
4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25
4. Evaluate the limit (4pts each) 9x4+x (a) lim x -3 (b) lim Vx +25
Evaluate lim,-_-4+ g(x). 1 1 for -5< x < -4 X + 1 g(x) = 22 for X > -4 1 16 The limit does not exist. 1 3 -4
Solve by using complex variables.
L'Hospital's Rule 3.78. Evaluate (a) lim 2z2+(3-40z-6i, 3.79. Evaluate (a) lim 22 +4 (b) zlim3 (z-em/3)(Z3 1), (c) lim za+2+1' z sin z (b).li.u--.n(2) xm Evaluate sin 2
solve 1.3.7
Aliakbar Montazer Haghigh 42 2 +16 1364i 3.6.) lmI lim For 1.3.9-17, evaluate. 1.3.9.e/2 310 Lai1+ i). 1.3.12. cos(3-i