4.) x²-9 lim X-3 x-3

Q: Find the value of the following limits: Vx +1 - lim x -1 /2x x2 – x lim v9 n2 – n – 3 n

A: To find  limx→1x+1-2xx2-x limn→∞9n2-n-3n

Q: Find the value of lim f(x), if x5+ J 6x + 3 2x + 7 x 5 f(x) = O 9 O 17 O 45 O 14 27

A: Here use the concept of limit.

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A:

Q: . Evaluate the following limits and interpret your result in terms of V.A. or H.A. 3-7x a). lim Xo…

A:

Q: XY – 2x - lim (x,y)→(0;2) x² + y² – 4y + 4’'

A: Given:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – o. 20x (a) lim 3 + 3 — 8х 20x…

A: the given limits are: a  limx→38+20x3-8x(b) limx→38-20x3-8x we have to evaluate the given limits.

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -o!. lim 4x +1 (b) lim I 00…

A:

Q: Find the following limits if they exist. lim (x+ e* ) b)

A: We have to find the limit: limx→0x+ex1x This is 1∞ indeterminate form. We know the formula for 1∞…

Q: Evaluate the following limits. If needed, enter oo for o and oo for – o. | V9 + 3x? (a) lim x → 00 3…

A:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: The derivative of the function using the limits is obtained by the formula f'(x)=limh→0f(x+h)-f(x)h,…

Q: Find the limits x2 - 3x + 2 lim x - 4x as a. x→2+ b. x→-2+ c. x→0 d. x→ 1* e. What, if anything, can…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: Find the limits, if it exists. lim x → ∞ (13)/(14+e^(8x))

A:

Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): lim(2x² – 3x).…

A:

Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

A:

Q: Use the Squeeze Theorem to find lim f (x), given that 2 - |- 8| < f(1) < 2+ |r – 8|.

A:

Q: Evaluate the following limits: [2х-у a) lim (x,y)→(3,2) ev2x-y 2.

A:

Q: Find the value of lim f(r), if f(x)%3D 8r +4 3 z-3+ O 12 O 19 O 34 O 35

A:

Q: Given the function f(x) = x? 2x, which of the following is the correct limit definition of f' (2)?…

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Q: Use the formal definitions of limits as x→ +-∞ to establish the limits If ƒ has the constant value…

A: The given function is fx=k. let ε&gt;0. Take N=10. Clearly, fx=k    for  alll x&gt;N.

Q: Evaluate the following limits, where c and k are constants.

A: To evaluate: limx→2(1x-2-2x2-2x) Solution: Given ,limx→2(1x-2-2x2-2x) On simplifying further we get:…

Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: Use a table of values to estimate the value of the limit. V x + 25 5 lim

A:

Q: Evaluate the following limits. If needed, enter oo for o and oo for V3 + 9x2 (a) lim 5 + 6x 3+ 9x2…

A:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: In Exercise, first get a common denominator; then find the limits that exist.

A: limx→02x-ln1+2xx2

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – 0o. (a) lim (– 40æ² – 36x³) :…

A: Given(a)limx→∞(-40x2-36x3)replacing limit=-40(∞)2-36(∞)3 as we know power of infinite is…

Q: 2. lim(In(x? – 5) X→の

A: Since we have to generate the table for the increment of values and limit is to be calculated for…

Q: Evaluate the following limits, where c and k are constants.

A: To Evaluate: limx→25x-632

Q: Evaluate the following limits. If needed, enter INF for o and MINF for - (а) lim (væ² x² – 7x +1 –…

A: (a)

Q: Find the value of lim f(z), if f(x) = 8x +3 z 7 %3D O 50 O 61 O 11 O 18 O 29

A: Limit of the function

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -o. 15x (a) lim - 2x 3 + 15x…

A: Use left hand and right hand limit concept

Q: Determine the following limits. x? + lim 1x? - Vx* + 3x²2 (Hint: Multiply by 4 x* + 3x? x* + x* +…

A: Evaluate: limx→∞x2-x4+3x2

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

A:

Q: Evaluate the limit lim Va? + 3x + 11 – x -

A:

Q: Evaluate the following limits 2x2y (a) lim (x,y) (1,2) x2+y²+1

A: The question for (b) seems incomplete as there is nothing to evaluate the limit. For (a),    limx,…

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

Q: Determine the following limits, using oo or-0o when appropriate, or state that they do not exont…

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: Evaluate the following limits and verify your answer. (i) Зу? +5ху + 2х? lim (х.у) -(4,3) Зу? + 2ху

A:

Q: Use the Properties of Limits to evaluate the limit, if it exists. (If an answer does not exist,…

A:

Q: Find the following limit: 11a +31a 6. lim エ>0 6. Answer:

A:

Q: Determine the limit by sketching an appropriate graph. lim f(x), where f(x) = J-5x+5 x-4+ for x<4…

A: Limit x~4+ ANSWER:- 26

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Evaluate the following limits, where c and k are constants.

A: See the details solution in below

Q: Use l’Hôpital’s rule to find the limits

A: Given: limx→0x2x2x-1 To determine: The value of the given limit. Concept used: L'hospital's rule…

Q: Use the formal definition of the limit to prove the statement rigorously.

A: Given :          limx→4x=2

Q: Evaluate the given limits: a) 2x3 + 5x² + x – 1 lim x→+0 e2x -

A:

Q: Find the limits as x→ o and as x → -oo. y = f(x) = 5x3 – x4 lim f(x) = lim f(x)

A:

Q: 9x-x2 3. lim X9 3-V m3-12 4. lim m-o 4m3+5

A:

Q: Determine the values of the following limits. lim 2a? 2x + 4 lim %3D む+1 lim I -1 x -1

A: To find the value of the following limits.