Infinite discontinuity question

[Callumnc1]

Homework Statement:

Please see below

Relevant Equations:

Please see below

For 6(b),

The solution is,

However, for $a = 1$ they could have also said that f is not continuous since f(1) is not defined (vertical asymptote) correct?

Many thanks!

 

[SammyS]

Homework Statement:: Please see below
Relevant Equations:: Please see below

For 6(b),
View attachment 322376
The solution is,
View attachment 322377

However, for $a = 1$ they could have also said that f is not continuous since f(1) is not defined (vertical asymptote) correct?

Many thanks!

No.

The graph for problem 6. clearly shows that f(1) is defined. It appears to have the same value as f(3).

 

[Callumnc1]

No.

The graph for problem 6. clearly shows that f(1) is defined. It appears to have the same value as f(3).

Oh true! Thank you for you for help @SammyS!

 

[PeroK]

Homework Statement:: Please see below
Relevant Equations:: Please see below

For 6(b),
View attachment 322376
The solution is,
View attachment 322377

However, for $a = 1$ they could have also said that f is not continuous since f(1) is not defined (vertical asymptote) correct?

Many thanks!

Do you attempt to do these problems yourself, or do you just look at the solutions? Usually, it seems, you also need help following the given solutions.

 

[Callumnc1]

Do you attempt to do these problems yourself, or do you just look at the solutions? Usually, it seems, you also need help following the given solutions.

Thank you for your reply @PeroK!

I often attempt the problems myself, but I get it wrong and sometimes don't understand the solutions.

Many thanks!