relations: = 2: = 1. onvergent, one is

Q: What are the limits when x approaches 2-Let f(x ) = 1 / (x-2)

A: we have to evaluate the limit

Q: Find the following limits. State any theorems used while taking the limits.

A:

Q: 2x +k-x-6 13) Solve for k so that the following limit is true: lim = 7 x-2

A:

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

A:

Q: T ) lim tan 2x2 + 1/

A:

Q: b)lim X118 5x3+x2 3- 15x2

A: Given limit, limx→ -∞ 5x3+x2-23-1.5x2

Q: the distance between x and zero is less than 2

A: Given,       The distance between x and zero is less than 2.

Q: lim 1³ + 3t² - 12t+4 1³ — 41

A:

Q: 1. lim(3*-3 + 5) = 248 2. lim(125 + 2) = 7 x+5 3. lim()*-1 + = { 4 x→1

A: Since you have asked multiple question, we will solve the first 3 question for you. If you want any…

Q: a) Solve Cauchy Problem: 2143 X- +2y=x+1 TO HATYI

A:

Q: Also, could you please explain how the new limits are formed?

A: Step 1:Step 2:Step 3: Step 4:

Q: I need hep finding the limits and where they exist from x-> 1 and x-> -2

A: From the given graph, it is observed that at x = 1, the function contains an open circle, that is,…