continuous limits

[Dorian Gray]

Hello Mathematicians,

I have come across a problem that I am having some difficulties with.


Should I split the limit up? Should I put 3 in for x? I am not sure where I should start.


Thanks for any help comments, suggestions, or advice

 

[srmichael]

Hello Mathematicians,

I have come across a problem that I am having some difficulties with.View attachment 1625


Should I split the limit up? Should I put 3 in for x? I am not sure where I should start.


Thanks for any help comments, suggestions, or advice

Yes, "plug in " 3. So 2f(3) - g(3) = 4. You know what f(3) is so you can now solve for g(3).

 

[Dorian Gray]

Yes, "plug in " 3. So 2f(3) - g(3) = 4. You know what f(3) is so you can now solve for g(3).

Thank you for your prompt reply srmichael. Would you approach this problem like this?

-Since f(3) is 5 and the problem has 2f(3), would that make it then inside (10-x)=4 and then the x would be 6?
Am I allowed to do that algabraically?

 

[srmichael]

Thank you for your prompt reply srmichael. Would you approach this problem like this?

-Since f(3) is 5 and the problem has 2f(3), would that make it then inside (10-x)=4 and then the x would be 6?View attachment 1626
Am I allowed to do that algabraically?

Good job!

 

[Dorian Gray]

Thank you!

Thank you Sir Michael!