Q17 of 46 Page 1

Show that the function f defined as follows, is continuous at x = 2, but not differentiable:


OR


Find if

Given


Now


And


⇒


Hence f(x) is continuous at x=2.


Now


Now


And


⇒


Hence f’(x) is not differentiable at x=2.


OR




Y = sin-1 x – sin-1 √x


Differentiate w.r.t x to get,





More from this chapter

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15

Let Z be the set of all integers and R be the relation on Z defined as R = {(a, b) ; a, b ∈ Z, and (a - b) is divisible by 5.} Prove that R is an equivalence relation.

 16

Prove the following:


OR


Prove the following:


 18

Evaluate :

OR


Evaluate :

19

Evaluate :