GAIN AN ADVANTAGE
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Lesson Specific Problems
- Prove that \[\lim_{x\to a}\,f(x)=L\] if and only if \[\lim_{x\to a}\,(f(x)-L)=0.\]
- Prove that if \[\lim_{x\to a}\,(f(x)-L)=0,\] then \[\lim_{x\to a}\,f(x)=L.\]
- Prove that if \[\lim_{x\to a}\,f(x)=L,\] then \[\lim_{x\to a}\,(f(x)-L)=0.\]
- Prove that \[\lim_{h\to 0}\,f(a+h)=L\] if and only if \[\lim_{x\to a}\,f(x)=L.\]
- Prove that \[\lim_{x\to 4}\,\sqrt{x}=2.\]
