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The function f(x) = \( { e}^{ |x|} \) is |
continuous everywhere but not differentiable at x = 0 not continuous at x = 0 continuous and differentiable everywhere None |
continuous everywhere but not differentiable at x = 0 |
Solve both sides by substituting for the limit for checking continuity. At x = 0, \(\frac{d}{dx}\) e|x| = 0 at x=0 |
