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Solution - Find the value of 'k' if the function - Continuous Function of Point

Question

Find the value of 'k' if the function

`f(X)=(tan7x)/(2x) , `

`=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`

 

Is there an error in this question or solution?

APPEARS IN

2014-2015 (March)
Question 1.3 | 2 marks
Solution for question: Find the value of 'k' if the function concept: Continuous Function of Point. For the courses HSC Commerce, HSC Commerce (Marketing and Salesmanship)
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