Exercise 10 Evaluate the limit lim x 0 (tan (3.x))² 4.x² Evaluate a limit using the Squeeze Theorem if it exists. If the limit does not exist, enter DNE.

Q: 2. Calculate lim x +1 Hint: let y = (-)", find limit of In y (use L’Hospital rule in the process of…

A: Given,            limx→∞xx+1x

Q: Use the graph of the function f shown here to evaluate the following expressions. ĭ -3-2 YA 5 8

A:

Q: Use the table to find the indicated limit  If f(x)= sin(4x) divided by x, find limit as x…

A: We have to find

Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

A:

Q: Use the Squeeze Theorem to fĩnd lim In(x + 1) cos(-)

A:

Q: 2.a?y Using paths, show that the following limit does not exist. lim (x,y)→(0,0) 3x4 + y?

A: According to the given information, it is required to show that limit does not exist.

Q: 4 Find the limit: lim sin(x) (Enter undefined if the limit does not exist.)

A: The given limit limx→04x-4sin(x)

Q: If the limit exists, specify the specific value. If the limit does not exist, write DNE. 4x- ) 8,…

A: Here given  gx=4x-8, x≥37-x, x<3 Now limx→3gx exist if limx→3+gx, limx→3-gx  and equal.That…

Q: Does the limit   limx→0+ sin(1/x) exist? Justify your answer.

A: The given problem is to find whether the limit exists or not.Given limit,limx→0+sin(1x)