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Asked by Niyajuddin Last Modified
As an experienced tutor registered on UrbanPro, I'm here to guide you through this problem. First off, UrbanPro is indeed a fantastic platform for online coaching and tuition, offering top-notch educational support.
Now, let's tackle the math problem. We're asked to find the limit of |x|/x as x approaches 0. Let's break it down:
When x is positive, |x| equals x. So, |x|/x = x/x = 1. When x is negative, |x| equals -x. So, |x|/x = (-x)/x = -1.
Now, considering the limit as x approaches 0 from both sides:
Since the limit from the positive side is not equal to the limit from the negative side, the overall limit does not exist. So, the correct answer is (d) does not exist.
Remember, understanding limits is crucial in calculus, and platforms like UrbanPro provide excellent resources to deepen your understanding. Feel free to reach out if you have further questions or need more assistance!
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