Question

what is lt f(x) equal to x=o​

Answer 1

Answer:

Step-by-step explanation:

→f(0−)=limx→0​f(0−x)=limx→0​1−e−1/x1+e−1/x​ as e−∞→0

⇒limx→0​1−e−1/x1+e−1/x​=11​=1=f(0)⇒ Left continues

f(0+)=limx→0​f(0+x)=limx→0​1−e1/x1+e1/x​×e−1/xe−1/x​

=limx→0​e−1/x−1e−1/x+1​=−1=f(0)⇒ Not right continues

⇒(A)

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