1800-150-456-789
FlagBACK
Flag Algebra> question on continuity f(x)=x^2, x belong...
question mark

question on continuity f(x)=x^2, x belongs to set of integers only f(x)=k(x^2-4)/2-x, x does not belong to set of integers. find value of k so that f(x) is continuous.

John Doe , 10 Years ago
Grade 12th pass
anser 1 Answers
Arun Kumar

Last Activity: 10 Years ago

Hello Student,

f(x) = x^{2}, x = I
f(x) = \frac{-k(x^{2}-4)}{2-x}, x \neq I
f(x) = -k(x+2), x \neq I
For function to be continuous
\lim_{h\rightarrow 0}f(I-h) = I^{2} = \lim_{h\rightarrow 0}f(I+h)
\lim_{h\rightarrow 0}-k(2+I-h) = I^{2} = \lim_{h\rightarrow 0}-k(2+I+h)
k = \frac{-I^{2}}{I+2}
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
0 Answer Available

Last Activity: 2 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 2 Years ago