Question

Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5 continuous? At what points is the function y = 2 x - 12x + 35 continuous? Describe the set of x-values where the function is continuous, using interval notation. (Simplify your answer. Type your answer in interval notation.) A formula is given below for the n" term a, of a sequence {an. Find the values of a, az, az, and a4. a, - (Type an integer or a fraction.) The first term of a sequence along with a recursion formula for the remaining terms is given below. Write out the first ten terms of the sequence. nam a = -1, 2-n1 a. - Find a formula for the nth term of the sequence in terms of n. 1 5 52 53 54 4 6 8 10 12 a, - for n21

Answer 1

1. 
   lim >O lim (San +7 - Jan²-3x) (19x'9x - Jo-Bu) da247x + Sqw2337 I saxt7x +39 0² Zn F7 - 9843x Jant7x + 9x²zu им lim X b bin +13 x ² 34-208 z lim +2-169 13 (+-18 (+ +16 (t + (+13) lim t itt 16 (t +13) 13 f(s) : BH6 13+13 S3_343 83_7² 2 s²_uq 5²-72 (5-7 (5² 75+ 72 (8D (877) 5² 75+7² St7 F (s
   
   - (2) 2 - 7x7 + 72 f(7) = 7+7 s yaz ye+49 14 f(7) = 49 14 d) x+5 y 22-124 +35 x+5 g (x@5) (6-7) exist x 4 (5) 4 (A) does not Internal (- 0,5) u (5,7) U (7,00) 1+-ادرس e an= 2n41 a c-ylt t il 2x1-) 2x2-1 243-1 2x4-1 d) 0,5 han ou n+= han ni
   
   - (2) 2 - 7x7 + 72 f(7) = 7+7 s yaz ye+49 14 f(7) = 49 14 d) x+5 y 22-124 +35 x+5 g (x@5) (6-7) exist x 4 (5) 4 (A) does not Internal (- 0,5) u (5,7) U (7,00) 1+-ادرس e an= 2n41 a c-ylt t il 2x1-) 2x2-1 243-1 2x4-1 d) 0,5 han ou n+= han ni
   
   2n-5 ht anel an 0 22-5 ho NEO Ratio By Adelernoting test = -1 o the series is continout Convergence lim no an = lim (-it! no 21.5 3 no lim noo > = 2,718 dineres then series is an= (0.03 n and 10.03%ng an= "10.03 they faneloba lim ("Jan) = 1 no