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

2080 Points
2 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