Question

if F (x) is continuous in [0,3] where
F (x) = 3x-4 , for 0 <x <2
= 2x+k, for 2 < x <3
then the value of k is .......​

Answer 1

Answer:

Here F(x) is continuous in [0,3]

So, It is continuous at x= 2

So, LHL = RHL at x= 2

Lim x->2 3x -4 = Lim x->2 2x+k

= 3(2) -4 = 2(2) + k

= 6-4 = 4 +k

2 = 4+k

k = -2

#answerwithquality #BAL

Answer 2

QUESTION,

if F (x) is continuous in [0,3] where

F (x) = 3x-4 , for 0 <x <2

= 2x+k, for 2 < x <3

then the value of k is

┏─━─━─━─━∞◆∞━─━─━─━─┓

✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✭✮

┗─━─━─━─━∞◆∞━─━─━─━─┛

✨$\underline \mathbb{SOLUTION}$

Here,

$f(x) \: is \: continuous \: in \:(0,3)$

》So it is continuous at x=2

✨So,LHS = RHS at x = 2

》Lim x-2 3x-4 = lim x-2 2x+k

✨$3(2) - 4 = 2(2) + k$

✨$= > 6 - 4 = 4 \: + \: k$

✨$2 = 4 + k$

✨$k = - 2$

▀▄ [_ANSWER》K = -2_]▄▀

▬▬▬▬▬ஜ۩۞۩ஜ▬▬▬▬▬▬

#BAL

#Answerwithquality

✨ŤHÁŃKŚ✨