Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

what is the lim of (((1/x)-(1/2))/x-2) , as x approaches 2

Sagot :

konrad509
I assume the denominator is [tex]x-2[/tex].

[tex]\lim_{x\to2}\dfrac{\dfrac{1}{x}-\dfrac{1}{2}}{x-2}=\\ \lim_{x\to2}\dfrac{\dfrac{2}{2x}-\dfrac{x}{2x}}{x-2}=\\ \lim_{x\to2}\dfrac{\dfrac{2-x}{2x}}{x-2}=\\ \lim_{x\to2}\dfrac{2-x}{2x(x-2)}}=\\ \lim_{x\to2}-\dfrac{x-2}{2x(x-2)}}=\\ \lim_{x\to2}-\dfrac{1}{2x}}=\\ -\dfrac{1}{2\cdot2}=\\ -\dfrac{1}{4}= [/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.