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

ConceptContinuous 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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