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Question
Find the value of 'k' if the function
`f(X)=(tan7x)/(2x) , "for " x != 0 `
`=k`, for x=0
is continuos at x=0
Solution
Given
`f(X)=(tan7x)/(2x) ,`
`=k`
f(0)=k
`Now lim_(x->0)f(x)= lim_(x->0)(tan7x)/(2x)`
` = lim_(x->0)(tan7x)/(7x) (7/2)`
` =1xx 7/2`
as function f(x) is coninuous at x=0
`lim_(x->0)f(x)=f(0)=k`
`k=7/2`
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