Evaluate limits numerically and Graphically

Look at the graph and Find the limit as indicated in the graph

• 1

• 2

• 3

• limit does not exist

Name the discontinuity shown in the graph when x approaches to 2 from left and right hand sides 

• Removable Discontinuity

• Non removable Unbounded Behavior

• Non removable Oscillating Behavior 

• Non removable Jump Discontinuity

Name the discontinuity at x=2 .Also find the value of f(2)

• Removable ; f(2)=undefined

• Removable ; f(2)=4

• Non-Removable Jump discontinuity ; f(2)=4

• Non-Removable Jump discontinuity ; f(2)=undefined

Name the discontinuities shown in fig a, fig b and fig c.

Note -Give your answer in order separated by commas

• Removable , Jump discontinuity , Unbounded behavior

• Jump discontinuity , removable discontinuity , unbounded behavior

Find the limit of the function when x approaches to 0

Evaluate the limits as asked in the image:

Note-Write in order (limit from left hand side and then from right hand side ).Name the discontinuity if the limit fails to exist

• $-\infty\ ;\infty$

• $\infty\ ;-\infty$

Write the verbal description of limit notation

• Limit of a function f(x) when x approaches to c equals to L

• Limit of a function f(x) when x comes near to L equals to c

• Limit of a function f(x) when x approaches to c increases without bound

• Limit of a function f(x) when x approaches to c decreases without bound

At what values of x the function is discontinuous :Name all the discontinuities at specific x :Example at x=a-removable discontinuity and so on 

•  $x=-3\ :\ x=2\ :\ x=4$  jump / removable/unbounded behavior respectively 

•  $x=2\ :\ x=-3\ :\ x=4$   jump / removable/unbounded behavior respectively