5. Consider the limit: lim x² = 16. What is the largest allowable & that will "work" for e = 0.25 in the x-4 definition of the limit.

Q: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

A:

Q: Evaluate the limit: lim (8z – 52)

A: Put Z=-1

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Using the precise definition of a limit, à in terms of & for lim (2-3x) = -4 is E/-3 X-2 A) True B…

A:

Q: Find the limit

A: We will solve this by substitution We plug x=1

Q: 12. Use only the e-6 definition of limit to show that lim (2x²-x) = 6.

A: The given limit is limx→22x2-x=6 We have to prove this limit using ε-δ definition.

Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: Use the &-e definition of a limit to show: lim (3- x) = -2 | x5

A:

Q: What is the limit?

A: Limit x->2 means x is approaching 2.So plug x=2 in the given expression.

Q: Evaluate the linmit using L'Hospital's rule if necessary lim (1+ 7æ) (Use an exact value for this…

A:

Q: Determine whether the limit lim Vx² +1– Vx+1 exists. Please explain your answer.

A:

Q: Explain with computation and using graphs why the following limit: (x - 2)(y - 1) (2.1) - 2)2 +…

A:

Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

A:

Q: 3 4x 2 lim a0 7VT+8 x00

A:

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

Q: Evaluate the limit: lim 5y + 7 = y→ 4

A: