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ksaimouli
 4 years ago
find the domain of the function f.use limits to describe the behaviour of f at valus of x not in its domain 1/x+3
ksaimouli
 4 years ago
find the domain of the function f.use limits to describe the behaviour of f at valus of x not in its domain 1/x+3

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slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1For what value of x will you divide by 0?

ksaimouli
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327444420449:dw

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1Cool. \[f(x) = {1 \over x+3}\] Where do you think will this function have a discontinuity? Aka, for what values of x is this function undefined?

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1Yes. So, do you agree this function is defined for every value of x, except for 3?

ksaimouli
 4 years ago
Best ResponseYou've already chosen the best response.0so ow to write end bhaviour

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1Then we can agree that the domain of the function is: \[(\infty,3) \cup (3, \infty)\]

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1That means x goes from infinity to JUST before three, meaning every value smaller than 3. and then it unites with every value larger than 3 to infinity

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1For the limits: \[\lim_{x \rightarrow 3^} { 1 \over x + 3} = \infty\] similarly \[\lim_{x \rightarrow 3^+} { 1 \over x + 3} = \infty\] and lastly \[\lim_{x \rightarrow 3} { 1 \over x + 3} = Does NotExist\]

ksaimouli
 4 years ago
Best ResponseYou've already chosen the best response.0ok got u but what happens in this case dw:1327445191194:dw

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1Whichever x makes the denominator zero would make the undefined for that x. \[(\infty, 2) \cup (2,2) \cup (2, \infty)\] That's the domain

slaaibak
 4 years ago
Best ResponseYou've already chosen the best response.1if x^2  4 = 0 x = 2 or x = 2
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