The limit lim sin x - 4 cos x + 3 O (A) does not exist O(B) equals -∞ (C) equals (D) equals O(E) equals 8 +13 +IM 4 (3) 3 413 3 یا 3 (x² + cos²x)
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- Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2)Suppose that {xn} is a sequence of real numbers satisfying lim (as n→∞) xn = 1. prove that lim (as n→∞) (1 + 2xn) = 3. prove this don't calculate limit.a) calculate the limit x--> -7 x^2+6x-7/x+7 without using L Hoputals rule b) calculate lim x--> ∞ 2x^5-x^4+1/8x^5+x^3+x-2
- 1. Evaluate limx→2x2 + 5x + 1 using the Limit Laws. Show which laws you use at each step.2. Simplify, and then evaluate using the Direct Substitution Property: limx→1x2 + 2x − 3x2 + 6x − 7It shows that limn→∞|bn|= 0 if and only if limn→∞bn= 0. However, it gives an example of a succession{cn} n ∈ Ntal that limn→∞|cn|=L and L other than 0 but limn→∞cn does not exist (you must argue why such a limit does not exist) Note: the demonstration must be non-numeric, the example must be numerical and must be proven because the cn limit does not existFind the limit. lim e^(-2x) x-->∞