The value of the limit lim x42x-3 メー)1 X-イ

Q: 6- lim メ→2 2-x

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: first we factor the denominator

Q: 5 lim x-6 x + 5

A: Given Limit :           Need to find the value of limit by direct substitution

Q: Use continuity to evaluate the limit. ,2 lim 2x - 4 X→4

A:

Q: lim 1+ 3x = -5 X--2

A: To prove: limx→-21+3x=-5 Solution: Given, limx→-21+3x Here function f(x)=1+3x is a linear function…

Q: Evaluate the limit: lim (2z³ – 32) =|

A:

Q: Evaluate the limit: lim (8z – 52)

A: Put Z=-1

Q: Find the limit (if it exists). If it does not exist, explain why.

A: For x<2, |x-2|= -(x-2)

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given: limx→-3-xx2-9 Determine the limit limx→-3-xx2-9=-3-32-9=-30

Q: lim an lim 2 ニ2,

A:

Q: evaluate the limit    lim      (3/2 -3/x) x->2   (x^2 -4)

A: We have to evaluate the limit of function , where question is given.Firstly we will put x=2 in both…

Q: Compute the limits that exist. lim x---2 x/x - 2

A: Explanation: Given that,  limx→2xx-2     Concept Used: If LHL=RHLLim exist.If LHL≠RHLLim doesn't…

Q: Compute the limits that exist. lim x---8, x2 + 64/x - 8

A: The limit of a function limx→Xf(x)=Y means that value of  function fx can be as close to Y by making…

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Compute the limits that exist. lim x---5, 2x - 10/x2 - 25

A: Given: Compute the limits that exist. limx→5 2x-10x2-25

Q: Evaluate the limit: a3 lim - 125 - a →5 a – 5 -

A: Given the limit :

Q: Find the limit, if it exist の十2 lim

A:

Q: Compute the limits that exist. lim x---3 2x2 + 16

A: Given: limx→32x2+16 Substitute 3 for x and determine the limit limx→3(2x2+16)=2(3)2+16

Q: Prove the statement using the &, & definition of a limit. lim (1 – 4x) = 9 X- -2 !!

A:

Q: Evaluate the limit. lim      (x  π) csc xx→ π -

A: We have to evaluate limx→πx-πcosecx We know that cosecx=1sinx So, above expression can be written…

Q: Evaluate the limit. 6. lim xtan

A:

Q: Determine the infinite limit. lim X→-7 X + 7.

A: Given,       limx→7-( x + 6x + 7 )

Q: 1 lim- * (x-3)

A:

Q: Evaluate the limit. 37-192x2 lim,+4-4x²+x° 3

A: Given query is to find indicated limit.

Q: Write the concept of limit to infinite limits?

A: A fractional function will have an infinite limit if the limit of the denominator is zero and the…

Q: Find the limit by rewriting the fraction first. ху - Зу - 4х + 12 lim x- 3 (х,у) — (3,7) X#3 ху - Зу…

A: we have to find the limit of the given expression

Q: Cy 4. Use the definition of the limit to prove that lim 4x + 2 = 14. X-3 2 Eva obole o

A: topic - limits

Q: Compute the limits that exist. lim x----5 2x2 - 5x - 36/8 - 3x

A: To compute the limit: limx→52x2-5x-368-3x Solution: Evaluating the limit.…

Q: Evaluate the limit: lim,-9 (f, –11, ) = (

A: Evaluate the limit...

Q: Compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

A: We need to compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

Q: Evaluate the limit. lim -5 V-I-2

A: We have to find value of given Limit.

Q: Find the limit 8/(3-8) lim X-

A:

Q: Determine the limit, if it exists. lim 5 (x -7) X→3

A:

Q: Evaluate the limit: lim (4x - 6) = x → 2

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given that limx→5+ x-5x2-25. Evaluate the limit as follows.

Q: Find the limit, if it exists. If the limit does not exist, explain why. lim,2 1-2?

A:

Q: Evaluate the limit: Lim X--3 (2-√x² +100 x + 3

A:

Q: Evaluate the limit: lim, 0* ,7x

A: Given that limx→0+x7x. Let y=x7x. This implies that, lny=7xlnxlny=lnx17xlimx→0+lny=limx→0+lnx17x=-∞∞…

Q: lim(-x +5x -2 ) X2

A:

Q: х — 5 7. lim x→5+ x?

A: Use simple limit method

Q: Evaluate the limit 16 — а - lim a → 16 4 – va

A:

Q: Evaluate the limit lim x²sin 4x2

A: We can use substitution In order to solve this problem.

Q: Find the limit.

A: Given: limt→∞ 2-t2

Q: Evaluate the limit, if it exists. lim (1/4+1/x)/(4+x) x--> -4

A: The given expression is,

Q: Find the limit.

A: We have to find the limit: limx→05x-3 Limit is the value of functions at the given input value…

Q: Find the limit. 3 lim ( 3 csc

A:

Q: Use the ɛ - ô definition of limit to prove that lim X4 2 --5 =-3

A:

Q: Evaluate the limit, if it exists.

A: We have to find limit: limx→-414+1x4+x Since it is 00 indeterminate form so making it determinate by…

Q: Find the limit. lim - 84x x16

A: We have to find the limit.