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Consider the following two statements about the function
  • P. f(x) is continuous for all real values of .
  • Q .f(x) is differentiable for all real values of  .
Which of the following is TRUE?
  • a)
    P is true and Q is false.
  • b)
    P is false and Q is true.
  • c)
    Both P and Q are true.
  • d)
    Both P and Q are false.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following two statements about the function P. f(x)is co...
f(x)=|x| here for all values of x, f(x) exists. therefore it is continuous for all real values of x. At x=0, f(x) is not differentiable. Because if we take the left hand limit here, it is negative while the right hand limit is positive.  
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