Prove that if limh→0g(h)=0 and g(h)≠0 for some interval (−ˉδ,0)∪(0,ˉδ) where ˉδ>0 then limh→0g(h)=limg(h)→0g(h).
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Lesson Parent:
Problem:
Prove that if limh→0g(h)=0 and g(h)≠0 for some interval (−ˉδ,0)∪(0,ˉδ) where ˉδ>0 then
limh→0g(h)=limg(h)→0g(h).
Answer:
limh→0g(h)=limg(h)→0g(h).