Consider the function f(x) = x at x = 4. a) What is limx? x 4...
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Consider the function f(x) = √√x at x = 4. a) What is lim√√x? x 4 b) Write down the precise definition for the above limit. Be sure to substitute for f(x), a, and L. c) For d) For e) For 1, find the 8 that satisfies the definition. 0.1, find the 8 that satisfies the definition. 0.01, find the 8 that satisfies the definition. f) For general € (not a particular number), find the 5 which satisfies the defintion. Hints: • Use the conjugate of √√x-2. Convince me that √√x+2>2. • Convince me that √+2. g) Graph y= and labeled. √x around x = 4 with (4,2), x = 4+ 8, x = 4-8, y = 2 + €, and y = 2 € graphed Problem: Do the problem above for general a > 0. Consider the function f(x) = √√x at x = 4. a) What is lim√√x? x 4 b) Write down the precise definition for the above limit. Be sure to substitute for f(x), a, and L. c) For d) For e) For 1, find the 8 that satisfies the definition. 0.1, find the 8 that satisfies the definition. 0.01, find the 8 that satisfies the definition. f) For general € (not a particular number), find the 5 which satisfies the defintion. Hints: • Use the conjugate of √√x-2. Convince me that √√x+2>2. • Convince me that √+2. g) Graph y= and labeled. √x around x = 4 with (4,2), x = 4+ 8, x = 4-8, y = 2 + €, and y = 2 € graphed Problem: Do the problem above for general a > 0.
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SOLUTION a To find the limit of sqrtx as x approaches 4 we need to show that the limit exists and is equal to 2 b The precise definition of the limit ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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