If f(x)= \{\table\frac{8}{x^3}-6 x,\text{,} \text{ if } 0< x \leq 1 ; {x-1}/{\sqrt{x}-1},\text{, if } x>1 is a real valued function, then at x=1, f is [TG EAPCET 9 May 2024 Shift 1]

Correct Answer is : continuous but not differentiable

continuous but not differentiable

neither continuous nor differentiable

differentiable but not continuous

Limits Continuity and Differentiability

Section: Mathematics

Question : 12 of 15

Marks: +1, -0

If f(x)={

‌

−6x

,‌ if ‌0<x≤1

‌

x−1

√x−1

‌, if ‌x>1

is a real valued function, then at x=1,f is

[TG EAPCET 9 May 2024 Shift 1]

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