Continuous Functions - Page 9

Questions

Determine the values of a and b that make f(x) continuous. a=? b=?
Show that #f# is not constant and find #f#?
What is the limite x approaches 0 ((x/(x+1))^x?
Limit as x approaches infinity (x+2)/(x+3)?
Let f be given by the formula?
What can you say about a function f defined on #RR#, periodic and growing ?
Why is the domain of the function #ln((2x)/(2+x))# x<-2, x>0?
The function f (x) is defined as #f (x) = {(-1, x ≤ 0),( (x + 2) ^ 2, 0 < x ≤ 3),(x, x > 3):}#. The area under the f (x) curve between x = (-2) and x = 5 is? Options: a) 27 b) 205/3 c) 155/3 d) 80
How should f(2) be defined so that f is continuous on (0, ∞) ?
On what points does f(x)=(lnx)^2 continous?
If #f(x)={(ln3x", " 0<x<=3),(xln3", "3<x<=4) :}#, then #lim_(xto3)f(x)# is?
F(x)= {(ax-1)^3 if x>2 F(x)= {(ax-1)^3 if x=2 F(x)={(ax^2-1 if x<2 determine the real values of a ?
For which value(s) of k,is the function f,defined as below,continuous at x=2?f(x)={3-kx,1≤x<2 and x²/4-3, x≥2.Further,at which other points in [1,infinity[ is f continuous,and why?
What is the limit of #7/4(x-1)^2# as x approaches 1?
Determine where f is continuous when f(x)=(lnx)^2?
Verify Rolle theorem for function: f(x)= #x^3-6x^2+11x-6# in the interval [1,3] ?