A) If o< 8s82, then W( 8i) s w( 8z) B) fox) is uniformly continuous [aib] iff on lim w(8) こ6 c) If x>0, then : w(8)s (+d) W(8).

Q: х?-2х-15 lim х>5 х2-6х+5

A:

Q: 2) Evaluate the limit at x=1 for: x* + 7x2 – x – 2 f(x) x² – 5x + 4

A:

Q: Find the limit

A: To find the limit.

Q: Calculate the limit.

A:

Q: 1) Find the Limit lim/→0 3x²h-7th+h h

A:

Q: Find the limit

A:

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

A:

Q: Evaluate: lim Vx² + 4ax - Vx² +4bx) X+ 00 (a – b) O a - b 2(а - b) limit does not exist

A:

Q: Find the limit

A:

Q: Show: ( (|fl2 – €)² < lim sup E If (n) < (I|fl2 + e)² , Where ƒ E C(R | Z; , c) n=-N

A:

Q: Evaluate the limit V10+102 lim HI00 11+10r

A:

Q: Pind the limit lim 848 (√7x² +10 -√7x²-3)

A: Recall the formula: limx→∞ c=c and limx→∞ ax2±b=∞

Q: Evaluate the limit lim 5*+2+[In CInx) メつ0 プ+6+ (nx)0 200 100

A:

Q: lim t→∞ 14/3 + 71/3 2 (6+²/3 +11) ²

A: To find out the limit.

Q: Evaluate the limit.

A: Given limit: limx→ 18+x-3x13x2-3x+2

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: Vx? + 100 – 10 lim x² .2

A:

Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

A: This question can be solved using the concept of limits.

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: Evaluate the following limit 3x -9 (a) lim Vx+13 – 4 5x (b) lim Vx +4

A:

Q: 3* –1 lim V1+x -1,

A:

Q: 1. Find the limits: [Vx² – 5x – x + In („)) 2x²+4x 7x³+2x²+4x+9° b) lim X-1 5x²+13x+8

A:

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: Let g(t) : 3 - VE t – 9 - Find the value of lim_9 g(t), or state that it does not exist.

A: g(t)=3-tt-9

Q: Let Ki LiM sets be piver. M=knL =>(K XK)n(LXL)=MXMM Shaw.

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (38z2 – 38z³) = I+…

A: For a polynomial of the form: P(x)=axn+⋯+bx+c, if a&lt;0, the degree: n is odd, then it can be…

Q: Find the limit

A: It is given that,limx→2x2+2x-8x2-x-2We have to find the limit.

Q: (2n+1)!+(2n+2)! )! (2n+3 lim

A:

Q: 2. Prove that the set Z of integers with restriction of usual metric on R is a complete metric…

A:

Q: x+6x tq 4) lim X→-3 x+3

A: Given, limx→-3x2+6x+9x+3 when x tends to -3 then the given function takes the form 00, which is…

Q: Zet fx) be the function Ca) lim flA) 67 (6) lim f(x) 456 -2 (0llim f(x) ー2十\ -3+ ) lim f(x) X-7-00…

A:

Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.