Question #336003

limh→ 0 (6+h)


2−36


h

1
Expert's answer
2022-05-02T15:41:20-0400
limh0(6+h)236h=limh036+12h+h236h\lim\limits_{h\to 0}\dfrac{(6+h)^2-36}{h}=\lim\limits_{h\to 0}\dfrac{36+12h+h^2-36}{h}

=limh0(12+h)=12+0=12=\lim\limits_{h\to 0}(12+h)=12+0=12




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