IF lim x tends to 0 sin x/x=1, then if we put x=90 then sin90/90 should be 1/90

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Solution

We cannot put x=90 in this case becuase lim x tends to 0 means that the value of x is very near to zero. ie, x is a very very small number. Sine of a very small number is approximately equal to that number.
So, we take lim x tends to 0 sinx/x = 1

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