Mark the correct alternative in the following:If f(x) = |log10 x|, then at x = 1

Q3 of 155 Page 9

Mark the correct alternative in the following:
If f(x) = |log₁₀ x|, then at x = 1

Formula:-

(i) A function f(x) is said to be continuous at a point x=a of its domain, iff

(ii) for right hand derivative

) for left hand derivative

Given:-

f(x) = |log₁₀ x|

Using limit at x=1

For left hand limit

Mark the correct alternative in the following:

The function

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If f(x) = |x – a| ϕ(x), where ϕ(x) is continuous function, then

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If is continuous at x = 0, then k equals

Mark the correct alternative in the following:

If f(x) defined by then f(x) is continuous for all