11.1.49 Nedt Use algebra and the properties of limits as needed to find the give

Question

11.1.49 Nedt Use algebra and the properties of limits as needed to find the given limit. If the limit does not exist, say so. x 8 imx 64 X- 64 Select the correct choice below and, if necessary, ill in the answer box to complete your choice. Vx-8 OA. lim (Type an integer or a simplified fraction.) X-64 O B. The limit does not exist. Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All This course (MATH 3210 FALL 2012) s based on Lial Mathematics with Application Copyright 2017 Pearson Education

Explanation / Answer

for above :limx--64 ((x1/2-8)/(x-64)) =limx--64 ((x1/2-8)/((x1/2-8)*((x1/2+8)) =limx--64 1/(x1/2+8) =1/(641/2+8)

=1/16

hence option A: limx--64 ((x1/2-8)/(x-64)) =1/16

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