If \(f(x)-\dfrac{1}{1+2^{1/x}}\) then at x = 0 the function is:

1.	If \(f(x)-\dfrac{1}{1+2^{1/x}}\) then at x = 0 the function is:
A.	Discontinuous because \(\displaystyle L \lim_{x\rightarrow0}f(x){\ne}R\displaystyle\lim_{x\rightarrow0}f(x)\)
B.	Discontinuous because \(\displaystyle \lim_{x\rightarrow0}f(0){\ne}f(0)\)
C.	Continuous
D.	Discontinuous because \(R\displaystyle\lim_{x\rightarrow0}f(x)\) does not exist
Answer» B. Discontinuous because \(\displaystyle \lim_{x\rightarrow0}f(0){\ne}f(0)\)

Discussion

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