Q 01: Evaluate the following limits. (a) Given that f(x) = /5x+1, find Lim f(x+h)- f(x) 1 when x>--. h 3* –3-* (b) Lim 3* –3* and Limz+3* 3* +3-* エ→+の エ→ーの

Q: 2(x-1)* - y² Lex-1)* +2y (d) Show lim does not exist.

A: Limit exist

Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: Find lim f(x) if, for all x > 1, бех 19 < f(x) < - 2ex VX - 1

A:

Q: Find the limit

A: We first rationalize the numerator

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

A:

Q: Find the limit

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

Q: Find the limit

A: Given limit expression islim△x→0x+△x3-x3△x.

Q: 2x2-8x+15 lim -4x2+12x-2021

A: Given  limx→∞ 2x2-8x+15-4x2+12x-2021

Q: Use the limit laws to evaluate lim (3x − 12)√√x + 4. x→6 Enter the exact answer. For example, enter…

A: given limit

Q: limx→∞42x3+2x2-2x/353+x2+4X+5=   What is the limit?

A: Given expression is We need to find the limit.

Q: b) limx-2+ 72-4 x²– 4

A: To evaluate: limx→2+x-2x2-4

Q: Evaluate the limit

A: The given limit is limz→ 02z2+1z3+3z-4.

Q: Evaluate f132 if lim f1x2 = 5, lim f1x2 = 6, and f is right- xS3* xS3- continuous at x = 3.

A: Known fact: A function f is said to be right continuous at a point a if limx→a+fx=fa.

Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

A:

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: 5. Calculate limit: lim x³+2x²-x-2 x-2 x3+x2-2x

A: