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Grade 12th passDifferential Calculus

Does the equality shown in attachment is true or false?? ??? ? ? ???

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Profile image of Pawan joshi
7 Years agoGrade 12th pass
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1 Answer

Profile image of Aditya Gupta
7 Years ago
The above equality is false IN GENERAL. let f(x)= sinx/x, and let a=0.
Then RHS is 1.
But since sinx/x is less than 1 in any neighborhood of zero, hence LHS is equal to zero.
So it is not necessary for the equality to hold