61. an = nsin RIS n

Q: Find the limits in Exercise

A: Given: To evaluate the limitslimy→2 y+2y2+5y+6=?

Q: 1 z+1-4 lim Z→3 Z-3

A:

Q: Find the limit lim 4. -1x1 4+x

A:

Q: Use the limit defination to show that if g(n) = O(f(n)) and f(n)=o(h(n)) then g(n)= o(h(n)). O- big…

A: By definition,

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation.

Q: Use​ l'Hôpital's Rule to find the limit.     lim t--> -2           t3-6t-4/t2-t-6

A:

Q: Question 2 Use the Squeeze Theorem to find the limit of the sequence n!

A: To find the limit of sequence using squeeze theorem

Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

A: The given function is: f(x)=limx→0x27x3+3x2

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: 1+n Prove using the definition of the limit that limn→∞ 1-2n 2

A:

Q: Calculate the limit

A: We have to evaluate the following limit: limx→∞9x3+x-x32

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: (b) lim csc(r)

A:

Q: Exercise 5. Find the limit lim a

A:

Q: Find this limit: FM X-) 6 -x² + 2x + cos(x)-3 2x₁-x +3

A: To find the following limit.

Q: Evaluate the limit lim x →∞ (8 - x)(6 + 7x) (310x) (7 + 4x)

A:

Q: /49+h - 7 lim h→0 h

A:

Q: 2,,2 x²y² lim (x.y)→(0,0) x4 + 3y4

A: