How 1- Lim X²-81 *→ √x-3 2- lim to tratt 낱 3- Lim ( x + √1+3X +1 ) √1+3X-1 √1+3X +1 - Ans [108] Ans [] Ans [2]

Q: 2t2X+ -1 14x2 DAna lim X-7-1 FCx) X-フー1- (-1) 2+21-)) - 2 + 1 ext O And lim 7-1t Lim X-7-1 -1+1 -…

A: Consider the given function,

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

A:

Q: 3n Find lim,→0 (1+ )'

A: Here,

Q: 71/x Evaluate Lim (1+ x)!/x e

A: Given:

Q: Show that

A: We have to show that: limx→∞1x=0 We know that 1∞=010=∞

Q: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: In(1+ 3x²) lim ex -1

A: Given that:  lim(x tands to 0) [ln(1+3x2)/ex -1] Here i attached solution of this question.

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: 1 lim E n→ 00 i=1 'n² + i?

A:

Q: Lim X-o413-xl-1 76-JC

A: Evaluate the limit.      limx→416-x23-x-1

Q: lim In (xth)-Incn) X-DO

A: Topic = Limits

Q: h) lim x* +x?- 2 I+x+x+x

A: Here we have to find the limit of given function. We can divide it in two function , one in…

Q: lim x → 0

A: →When limit is of the form 00 or ∞∞ then we use L'Hospitals Rule  →In L'Hospitals Rule , take…

Q: 3 show that if lin N-)P number . an = a, then lim 29 = 2a for all real 3-)

A: Given : limn→∞ an=a To prove : limn→∞  λan=λa.

Q: rasb then prove Lim Ja 9. that

A: If  0<a<b  then prove that limn→∞an+bnn=b

Q: |x=1| 1 lim x+1 X-1 A True B) False

A:

Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x

Q: 1 - In (1 + 21) lim

A: we have to apply L'Hospital rule

Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 4nx tan(- an %3D 7 + 16n lim an

A:

Q: d) lim (xe”* +1)/ x->0*

A:

Q: e* - 1 lim VI+x -1 +х — X0

A:

Q: Which of the following is an oblique asymptote of 0 يع | من O 3 O 814 x 3 4 - - I + Y = 1 4 13 Y 4…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The value of (* +5)(* +1)( - 1) lim * - 1 is O 20 O 6 O 12 O 2 O 72 30

A: The limit of a function need not be the functional value at that point. Consider a rational function…

Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

A: Given query is to find indicated limit.

Q: x² +9 lim tan 9 - x

A:

Q: Find the lim x -9+ 6 + x DNE -00

A:

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

A: