Inspired by Efren Medallo

Calculus Level 1

True or false?

Because limx0x=limx00 \displaystyle \lim_{x\to0} x = \lim_{x\to0} 0 , hence limx0xsin(x)=limx00sin(x)\displaystyle \lim_{x\to0} \frac x{\sin(x)} = \lim_{x\to0} \frac0{\sin(x)} .


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