Please solve Example 31 Examine the function f (x) = x tan-11x, x≠0 - Maths - Continuity and Differentiability

Question

Please solve
Example 31 Examine the function f (x) = x   tan - 1 1 x ,
    x ≠ 0            
  0                 ,
    x = 0 for continuity at x = 0

Neha Sethi · Accepted Answer

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Please solve Example 31. Examine the function f (x) = x tan - 1 1 x , x ≠ 0 0 , x = 0 for continuity at x = 0.

Please solve
Example 31. Examine the function f (x) = $\{\begin{cases} x \tan^{- 1} \frac{1}{x}, x \neq 0 \\ 0, x = 0 \end{cases}$ for continuity at x = 0.