For what value of `lambda` is the function defined by `f(x)={{:(lambda(x^2 -2x)",",ifxle0),(4x +1",",ifx gt0):}` continuous at x = 0 ?
Topper's Solved these Questions
II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017
SUNSTAR PUBLICATION|Exercise PART-C|24 Videos
II PUC MATHEMATICS P.U. BOARD LATEST MODEL QUESTION PAPER - 1
SUNSTAR PUBLICATION|Exercise PART - E|2 Videos
K-CET- MATHEMATICS - 2017
SUNSTAR PUBLICATION|Exercise MCQs|59 Videos
Similar Questions
Explore conceptually related problems
For what value of k is the function defined by f(x)={{:(k(x^(2)+2)," if " x le0),(3x+1," if "x gt 0):} continuous at x= 0? Also write whether the function is continuous at x=1.
Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?
Is the function f defined by f(x) = {{:(x," if "x le 1),(3," if "x gt 1):} continuous at x= 0 ? At x=1? At x=2? .
The value of k which makes the function defined by : f(x) = {{:("sin" (1)/(x),"if",x ne 0),(k,"if",x = 0):} continuous at x = 0 is :
Show that the function f given by f(x)= {{:(x^2+2," if "x ne 0),(1," if "x=0):} is not continuous at x=0.
If f(x)={{:((1-cosKx)/(x sin x)",","if "xne0),((1)/(2)",","if "x=0):} is continuous at x=0 , then the value of
Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?
Discuss the continuity of the function defined by {{:(x+3," if "x le 0),(-x+3," if "x gt 0):}
The function f(x) = {{:((sin x)/(x) + cos x,"if",x ne 0),(k,"if",x = 0):} is continuous at x = 0, then value of k is :
SUNSTAR PUBLICATION-II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017-PART-E