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Let f(x) be a function defined in 
Consider the following statements: 
  1. The function is continuous at every point in the interval (1, ∞) 
  2. The function is differentiable at x = 1.5. 
Which of the above statements is/are correct? 
  • a)
    1 only 
  • b)
    2 only
  • c)
    Both 1 and 2
  • d)
    Neither 1 nor 2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let f(x) be a function defined inConsider the following statements: Th...
statement 1. given f(x) = 
function defined in 1 ≤ x ≤ ∞
The function is polynomial , so it is continous and differentiable in its domain [1, ∞] - [2]

= 6-4 =2
f(2)= 2-2 =0  ∴LHL ≠RHL
statement 2:

therefore the function is differentiable at x = 1.5
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Let f(x) be a function defined inConsider the following statements: The function is continuous at every point in the interval (1, ∞) The function is differentiable at x = 1.5.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?
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