Question

Discuss the continuity of the function at x = 1 ​

Answer 1

Answer:

There is an asymptote at =1

x

=

1

, however the limit as

x

goes to 1

1

becomes 2

2

because ()=+1

f

(

x

)

=

x

+

1

after factoring, also the limit becomes 2

2

because we again factor, so in total by definition the function is continuous, however if we draw the graph then there is an asymptote at =1

x

=

1

, so it's discontinuous.

So in then final result what can we say about the continuity of

Step-by-step explanation:

Hope it helps friend :)

Answer 2

Answer:

continuous at X= 1

Step-by-step explanation:

f(X) = x^2

lim x^2 = 1

xtends to 1-

lim X= 1

xtends to 1+

f(1)= 1

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