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DETAILS HARMATHAPBR1 9.1.009. Use properties of limits and algebraic methods to find the limit, if it...


DETAILS HARMATHAPBR1 9.1.009. Use properties of limits and algebraic methods to find the limit, if it exists. (If an answer d
DETAILS HARMATHAPBR1 9.1.009. Use properties of limits and algebraic methods to find the limit, if it exists. (If an answer does not exist, enter ONE.) lim XX-2 DETAILS HARMATHAPBR1 9.2.015. The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer from November through June is given by the function 10 + 0.094x if O SXS 100 C(x) - 19.40 + 0.075(x - 100) if 100 < x < 500. 49.40 + 0.06(x - 500) if X > 500 (a) What is the monthly charge if 900 kWh of electricity is consumed in a month? $ (b) Find lim C(x) and lim c(x), if the limits exist. (If an answer does not exist, enter DNE.) x-100 X-500 lim c(x) X 100 lim C(x) X-500 (c) Is C continuous at x = 1007 Yes Ο Νο Is C continuous at x 500? 0 Yes Ο Νο
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Lim x_4 x 2 x-2 = Lim (2-2)(x+2) 2-2 (db = &- b) @a+b) xam - 2)(x+2) 2-2 Lim (2+2) 272 - 2+2=4 - lim x²u X-) X-2 = 4 1 x>5ootwe use from c6 when x=400 for secondi.e C(400) = 19.4+ 0.075 (200-100) from 100 to 500kwh c(100) = 19.4 + 0.075 (300) CC^2=9P เจ็ท U- 500 (19.4 +0.075(x-100) = 49.4 (left hand limit Lim X- rout 49.4+ 0.06(-500) = 49. 4 (right hand limit) f(500) = 49

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