if you have any questions about it ask me in comment
• Question 8 Evaluate the limit: lim h 0 (3 + h)2 – 9 h • Question 9 α Evaluate the limit: lim 1 +9 15x + 54 2 - 9
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-?
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
2. Prove that lim (-1)"+1 0. 72-00 n 2n 3. Prove that lim noon + 1 2. 80 4. Prove that lim n-+v5n 0. -7 9 - in 5. Prove that lim n0 8 + 13n 13
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
(18. a) Evaluate lim e sin (b) Evaluate lim x sin x 0 x (c) Illustrate parts (a) and (b) by graphing y = x sin(1/x).
evaluate the limit f. lim xVt *+0+
Prove that . Where v(n) is the positive divisors functions. lim v(n)/n 0 lim v(n)/n 0
Use MacLaurin series to evaluate the following limits. Do not use L'Hospital's rule. (a) lim, 0 2x+cos 2-3 sino 1+36x3-1 (b) lim;-+0 sin(60)(et-1-2)
5. Evaluate the limit: lim expn n! n>00