Question

Examine whether \lim_{x \to 0 } \frac{e\tfrac{1}{x}}{e\tfrac{1}{x} + 1} exists or not.

12 Feb 2018
Answer :
Word Count : 200
We are given the limit: \[ \lim_{x \to 0 } \frac{e^{\frac{1}{x}}}{e^{\frac{1}{x}} + 1} \] ### Step 1: Analyze the function for positive and negative values of \( x \) #### Case 1: \( x \to 0^+ \) (Approaching 0 from the positive side) - As \( x \to
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