What are the answers to the limits?

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2 Answers
Feb 5, 2018

a) Just look at the graph at #x = -3#. Since the function is continuous there, it's simply the y-value when #x= -3#, or #3#.

b) Doesn't exist, because the left and right limits have different values.

c) #+oo#. Since we're asked the #lim_(x -> 1^+)#, or as the limit approaches #1# from the right, we can see that the function curves up towards positive infinity.

d) Simply evaluate the function at #x =2#. So #1#.

e) We can see that the function converges on the line #y = 3# as #x -> oo#.

Hopefully this helps!

Feb 5, 2018

The answer of each part is given below :-

Explanation:

#a)# The limit #= 3#

#b)# The limit Does not exist.

#c)# The limit # = +∞#

#d)# The limit# = 1#

#e)# The limit # = 3#