COMPACT QUESTIONS (FUNCTION)-2

1) Determine the values of a so that the following function is continuous at x=1.
    f(x)= ax +3, when x≥ 1.
          = x²+ a², when x<1.                 2,-1

2) Let f(x)= (1-cosmx)/(x sinx), when x=0
                 =2, when x=0
Find the value of m such that f(x)= is continuous at x= 0.                          ±2

3) Given f(x)=x²+4, x≤2 & g(x)=2x, x≤2
                     =x+6, x>2             =4, x>2.
Show that f(x) x g(x) is continuous at x = 2.

4) The function
 f(x)={log(1+ ax)- log(1- bx)}/x is not defined at x=0; find the value of f(0) so that f(x) is continuous at x=0.       a+ b


5) Find k, if the function defined by
f(x)= (1- sinx)/(π- 2x)² for x≠π/2, f(π/2)= k is continuous at x=π/2.

6) 

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