Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.