Prove that if \[\lim_{h\to 0}\,f(a+h)=L, \] then \[\lim_{x\to a}\,f(x)=L.\]
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Lesson Parent:
Problem:
Prove that if \[\lim_{h\to 0}\,f(a+h)=L, \] then \[\lim_{x\to a}\,f(x)=L.\]
Answer:
It is true that \[\mbox{if }\lim_{h\to 0}\,f(a+h)=L\mbox{ then }\lim_{x\to a}\,f(x)=L.\]
