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Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0. |
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Answer» Solution :F(0)=1/a `if f(x) is CONTINUOUS at x=0 then `lim_(xto0)f(x)=f(0)` `implieslim_(xto0)(sinax)/(sinx)=1/a` `a=1/a[becauselim_(thetato0)(sintheta)/(THETA)=1` a^2=1impliesa=+-1` |
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