Q30 of 92 Page 301

If For what value (s) of a does exists?

Given function is


There are three cases.


Case 1: When a = 0


:


⇒


⇒


Here


∴ does not exist.


Case 2: When a < 0


:


⇒


⇒


∴


∴ lim(f(x)) exists at x = a when a < 0


Case 3: When a > 0


:


⇒


⇒


∴


∴ lim(f(x)) exists at x = a when a > 0


Ans. exists for all a ≠ 0


More from this chapter

All 92 →
28

Suppose

and if = f (1) what are possible values of a and b?

 29

Let a1, a2,… , an be fixed real numbers and define a function

f (x) = ( x − a1) ( x − a2)...( x − an) .


What is ? For some compute .

 31

If the function f(x) satisfies , evaluate

 32

If For what integers m and n does both and exist?