Compute limx- 2-x-x and limx- 2-x-x-

x→ 2^+lim ([x]+x) for x→ 2^+ ;[x]=2 ∴x→ 2^+lim ([x]+x)=x→ 2^+lim(2+x)=4 x→ 2^ lim([x]+x) for x→ 2^ ; [x]=1 ∴x→ 2^ lim ([x]+x)=1+2 ...

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Multinomial Expansion

Compute lim...

Question

Compute $lim x \to 2 + ([x] + x)$ and $lim x \to 2 - ([x] + x)$ .

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