Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter coor-co, as appropriate. lim (-32²+52-4) H-5

Q: Find the one-sided limit (if it exists).

A: Given: The one - sided limit is limx→-1- x+1x4 -1 .

Q: lim x² ln x x-0*

A:

Q: sin(r – 3) lim I3 r2 + 2r – 15

A:

Q: Can we evaluate the limit using f(c) if the constant c will not make the function undefined or…

A:

Q: How can we Find One-Sided Limits Algebraically?

A:

Q: Find the one-sided limit (if it exists).

A:

Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: 47) lim √√3x-2 x-1 48) lim X->>0 x3 + 12x² - 5x 5x

A: To find the limit of a function f(x) when x approaches k, substitute x= k in f(x)

Q: 8. Evaluate the limit by using a change of variable. 1 X6 1 d. lim x→l_x³ Vx 2 x4 √x³ - 8 e. lim 1…

A:

Q: x*+cx+c-10 # 10. The limx¬22- 3x+2 exists. What is the value of "c “? What is the value of the limit…

A:

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: 6. Evaluate the limit. 1 (7/727 n² (a) lim n² sin n18 sin (0)

A:

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: Use formulas (3)–(5) to evaluate the limit.

A:

Q: Use the graph of f to complete parts (a) through (1). If a limit does not exist, explain why. Ay 8-…

A:

Q: lim (x,y)→(0,0) COS [y ln(x+1) exy+2

A: The solution is given below

Q: lim x→∞ 524+45 x¹ x¹ - x² + 5

A:

Q: (x+2)7(x-5)* lim x→b (x+6)3 (x+8)10 DNE %D

A:

Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

A: