Suppose f(x)𝑓(𝑥) and g(x)𝑔(𝑥) are equal for all x-values except x=t𝑥=𝑡. If limx→tf(x)=Llim𝑥→𝑡⁡𝑓(𝑥)=𝐿, then is limx→tg(x)=Llim𝑥→𝑡⁡𝑔(𝑥)=𝐿 true?

Question

Suppose f(x)𝑓(𝑥) and g(x)𝑔(𝑥) are equal for all x-values except x=t𝑥=𝑡. If limx→tf(x)=Llim𝑥→𝑡⁡𝑓(𝑥)=𝐿, then is limx→tg(x)=Llim𝑥→𝑡⁡𝑔(𝑥)=𝐿 true?
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Solution 1

Yes, it is true. If f(x) and g(x) are equal for all x-values except x=t, then the limits of f(x) and g(x) as x approaches t will also be equal. This is because the limit of a function at a certain point is determined by the values around that point, not the value at the point itself. So even though Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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