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x²+x-6 x -3x²5x - 24 1. Consider the limit lim (a) Use a table to estimate the value of the limit accurate to 3 decimal places. Show your table, and clearly indicate your final answer. (b) Use algebra to find the exact value of the limit. Show your algebra steps, and circle your final answer.

x²+x-6 x -3x²5x - 24 1. Consider the limit lim (a) Use a table to estimate the value of the limit accurate to 3 decimal places. Show your table, and clearly indicate your final answer. (b) Use algebra to find the exact value of the limit. Show your algebra steps, and circle your final answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the limit lim x²+x-6 52 – 24 x 3 x² (a) Use a table to estimate the value of the limit accurate to 3 decimal places. Show your table, and clearly indicate your final answer. (b) Use algebra to find the exact value of the limit. Show your algebra steps, and circle your final answer. 2. The graph P = f(t) to the right gives the population of a bacteria colony after t hours. Graphically estimate the following quanti- ties, and include the appropriate units with your answers. (a) The population of the colony at t = 1 hour. (b) The average growth rate of the colony between 1 and 3 hours. (c) The growth rate of the colony at t = 1 hour. P 600 500 400 300 200 100 1 P = f(t) 2 3 t
Transcribed Image Text:1. Consider the limit lim x²+x-6 52 – 24 x 3 x² (a) Use a table to estimate the value of the limit accurate to 3 decimal places. Show your table, and clearly indicate your final answer. (b) Use algebra to find the exact value of the limit. Show your algebra steps, and circle your final answer. 2. The graph P = f(t) to the right gives the population of a bacteria colony after t hours. Graphically estimate the following quanti- ties, and include the appropriate units with your answers. (a) The population of the colony at t = 1 hour. (b) The average growth rate of the colony between 1 and 3 hours. (c) The growth rate of the colony at t = 1 hour. P 600 500 400 300 200 100 1 P = f(t) 2 3 t
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