Solve it: Example 5 Show that the function f (x) given by f(x)=e1x -1e1x +1 - Maths - Continuity and Differentiability

Question

Solve it:

Example 5 Show that the function f (x) given by
f(x)= e 1 x   - 1 e 1 x   + 1    
        w h e n   x ≠ 0    
                 
                 
        i s   d i s c o n t i n u o u s
  w h e n   x ≠ 0   0
at x=0

Ankita Agarwal · Accepted Answer

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Solve it: Example 5. Show that the function f (x) given by f(x)= e 1 x - 1 e 1 x + 1 w h e n x ≠ 0 i s d i s c o n t i n u o u s w h e n x ≠ 0 0 at x=0.

Solve it:

Example 5. Show that the function f (x) given by f(x)= $\{\begin{cases} \frac{e^{\frac{1}{x}} - 1}{e^{\frac{1}{x}} + 1} \begin{matrix} w h e n x \neq 0 \\ i s d i s c o n t i n u o u s \\ w h e n x \neq 0 \end{matrix} \\ 0 \end{cases}$
at x=0.