Describe the left end-behavior off (x) = x´+4x+ 1 o im *+4x+ 1 = -00 lim x²+4x+ 1 x²+4x+ 1 o lim = 0 lim x²+4x+1 = 00 х

Q: 1-z = ? What is lim %3D !- 2!- -2

A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: Compute |4x – 12| lim x – 3

A: To evaluate:limx→3-|4x-12|x-3 Solution: we know, Modulus/absolute value function is defined as:…

Q: 2 4. lim x-3+ \3-x 4 9-x2,

A:

Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides.

Q: Vx +1-1 2. lim

A: we have to find limit

Q: show that : Limx→0    1/ (x – 1) + 1/( x + 1)  ) /x = −2

A: apply the concept of limit to prove the given problem.

Q: Evaluate the limit x – 4 | lim 2--1 8x2 – 3x + 8

A:

Q: Compute limit as x goes to infinity of (square root(2x^2+3x-1))/(7x+1)

A: =limx→∞2x2+3x-17x+1multiply and divide by x2=limx→∞2+3x-1x27x+1x2=2+3∞-1∞7∞+1∞=∞

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: /1+x – /1 – x lim |æ|

A: Proceed as shown below...

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

A:

Q: Compute the indicated limit. 5x2 – 5x – 3 lim x00 4x – 2x? – 7

A:

Q: V5x+4-2 -lim

A: Given that : lim(x tends to 0) (√(5x+4)-2/x). We find the value of this limit problem. Here i…

Q: 2х — х +3 compute lim- x>* x² - 2x +5

A:

Q: Show that 2n lim n+2 = 2,

A:

Q: Evaluate the limit. 3x3 – 5x² + 1 lim 00-X V2x6 – 4x + 3

A:

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: Prove lim as x approaches 1 = 14x^2 - 20x +6 / x-1 = 6

A: To find the limit of the given rational function as x tends to 1

Q: x² – r3 lim - 2x2 + 3

A:

Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

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Q: Find the limit. 5) lim /2x + 5 5) x-6

A:

Q: Find 2-Vx2-5 lim X-1 x+3

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Q: find Vx+4--x-2 1- lim --3 x+3

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Vax +9-3 lim What is the value of a if 3D1?

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Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

A:

Q: compute: Lim x2 + 12x -5 (x->1) Lim x+2/x2-4.    (x->1) Lim x2-9/x2-x-6 (x->3)

A:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

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: Use L'Hopital's Rule to evaluate a) lim XXX b) lim X-2 2x e 4x 2x²-5x+2 5x²-7X-6 2

A: Let f(x) and g(x) are two continuously differential function at point 'c'. Then,…

Q: (In x)² lim

A:

Q: Determine the following limits. 4x2 + 12+ 16x lim 36 +4x2 + 9x- x I- 00 4x2 + 12 + 16x lim I - 00 36…

A: Determine the following limites.  a limx→∞4x2+12+16x-36+4x2+9x-x3Degree of numerator <Degree of…

Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

A:

Q: Fird the domain of f (x) = 2-Vx2-5 Solve lim x→-3 =? (Don't use L'hopital Rule) x+3

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

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Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

A:

Q: 4x2-x- V9x2 –x lim

A: Given: limx→∞4x2-x-9x2-xx

Q: calculate the limit lim x→3  x2-2x-3/x2-4x+3

A: Given limit is,limx→3x2-2x-3x2-4x+3 which is the form of limx→cf(x)g(x)       where c = 3, f(x)…

Q: Find the limit. x2 - 8x + 15 x3 - 9x lim - 00 O 15 Does not exist 8

A: First factor the denominator and use limit of two sided limit approach,

Q: Estimate the limit numerically for lim X4 x²-3x-4 4 3.9 3.99 3.999 4.001 4.01 4.1 X. x - 4 Lx2 - 3x…

A:

Q: 2. Rationalize lim(Vx² +1-x) -1- x

A: We have to find limit

Q: Show that lim- e +1 does not exist. 1/x

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Q: Compute limit as x goes to infinity of (4x^3 +6x-2)/(3x^3 -2x^2+x+1)

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Q: Use L'Hopital's Rule. x²-25 lim x5 x2-9x+20

A:

Q: 5, evaluate the limit. 2x3-x 5) lim X0 x2+3x-1

A:

Q: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find…

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…