1) lim (an+b₂) = L+M 2) lim (9₁-b₁) = L-M 446 3) lim anby = LM ny∞ an 4) lim // If M#0 Tor M n-700 5) lim can= cL 418

Q: 1 Show that u(7) -

A:

Q: 1. Explain why Corollary 1 of Theorem 9-7 is true. That is, explain why L1 = L2.

A: Given that ∠1=∠2 is true statementsHint: Major arc; Minor arcand…

Q: 1+ sin 0 csc0+1 1-sin 0 csc0–1 II

A: We have to prove the identity.

Q: Show that Sn is solvable when n ≤ 4.

A: We see that S1  is the trivial group {e} and it is solvable.   We see that , |S2| = 2 so it is…

Q: Recall the property that (a, b) = 1 if and only if ax + by = 1 for some integer x, y. Use this…

A:

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: . Prove that an→L = Jan] → |L]. (Make cas

A: Given that an is a sequence which converges to L that is, an→L. Then we have to prove that |an|…

Q: State the Fermet's Last Theorem. Who was French women mathematican who mede significant 19th century…

A:

Q: Prove that.

A:

Q: Show that if a and b are real numbers and a!=0 then there is unique number r such that ar+b=0

A:

Q: Show that im n /-

A: Limit of the sequence

Q: Show that (A\B)\CC A\C.

A:

Q: 课后作业 19 18 వట్టి వ ఉట్టి వ 17 9 16 9 9 15 9 14 తిట్టా రెట్టి

A: Concept: Here we have used the technique of splitting terms Here we are splitting the terms into two…

Q: Find Chai

A: For n=1, 0, 1+1n=0, 1+11=0, 2For n=2, 0, 1+1n=0, 1+12=0, 1.5For n=3, 0, 1+1n=0, 1+13=0, 1.333For…

Q: Show that J74) LOSK +Sinn 2. %3D TIX

A:

Q: prove that :: 2) (1+i) (1-1)² = 64

A:

Q: How many counterexamples are needed to prove that a statement is false?

A: Suppose P(x) be the statement.

Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

A:

Q: Can A'B'C+A'BC'+AB'C'+ABC be simpleified further?

A: Boolean Algebra

Q: Prove that (An (BUC)) = AU BUC.

A:

Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: Show that п ()- = 1- 1 and п,

A: It is given that,

Q: Given that x, y, and z . Prove that if (x^2)|y and (y^3)|z, then (x^6)|z

A: Solution: The objective is to prove that the given statement

Q: b22 Such that/2/-1E andArg 4.

A: We find complex number

Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

A:

Q: Show that A\ (Bnc) (A\B)U(A\C).

A:

Q: 100 If A* = a + bi, compute for a and b.

A: To compute and a and b.

Q: find fix) and

A:

Q: Find gcd(1000, 34) and lcm(1000, 34) and verify that gcd(1000, 34) · lcm(1000, 34) = 1000 · 34

A: 1000 can be written in the form of prime factors as 1000=2×2×2×5×5×5 34 can be written in the form…

Q: 2 Prove Ccos(n (ulx)] duc)

A:

Q: Find all Complex Yoots @ Z^_Z 20 +32i=0

A:

Q: is it proveable with only the theorem given?

A: Is it provable with only the theorem given?The notations and symbols in the given theorem are used…

Q: 1) D Prove that 224 O 210

A:

Q: 1 의( (eat – ebt)} = %3D la-b (s-a)(s-b)

A: Here we have to prove that,  L1a-beat-ebt=1s-as-b