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If f(x) = |log10x| then at x=1...

If` f(x) = |log_10x|` then at x=1

A

f(x) is continuous and `f'(1^+)` =`log_10e`

B

f(x) is continuous and `f'(1^+)` = `log_e10`

C

f(x) is continuous and `f'(1^+)` = `log_e10`

D

f(x) is continuous and `f'(1^+) = log_10e`

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The correct Answer is:
A, D
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