WebThe value of lim n→∞cos( x 2)cos( x 4)⋯cos( x 2n−1)cos( x 2n) is A sinx x B 0 C 1 D cosx x Solution The correct option is A sinx x We know that cosAcos2Acos4A⋯cos2n−1A= sin2nA 2nsinA So, cos( x 2n)cos( x 2n−1)⋯cos( x 4)cos( x 2) = sinx 2nsin( x 2n) Hence, lim n→∞cos( x 2)cos( x 4)⋯cos( x 2n−1)cos( x 2n) Web30 mrt. 2024 · Ex 13.1, 18 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2) Last updated at March 30, 2024 by Teachoo. Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299. Transcript. Show More. Next: Ex 13.1, 19 Important → Ask a doubt . Chapter 13 Class 11 Limits and Derivatives;
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Weblim x → 0 (log cosx /x) Is equal to (A) 0 (B) ∞ (C) 1 (D) none of these. Check Answer and Solution for above Mathematics question - Tardigrade WebIf the value of lim x→0(2−cosx√cos2x)⎛⎝ x+2 x2 ⎞⎠ is equal to ea, then a is equal to Solution L = lim x→0(2−cosx√cos2x )⎛⎝ x+2 x2 ⎞⎠ of the form 1∞ L =elim x→0(2−cosx√cos2x−1)×( x+2 x2) ⋯(1) L =elim x→0 (1−cosx√cos2x) x2 ×(x+2) Now, … theatricals classwear tights
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WebWe will use three limits derived using L'Hospital: (1) lim x → 0 1 − e x x = − 1. and. (2) lim x → 0 1 + x − e x x 2 = − 1 2. and. (3) lim x → 0 1 + x + 1 2 x 2 − e x x 3 = − 1 6. Now Explanation: (4a): 1 + x e x = 1 + 1 + x − e x e x. (4b): factor e x 2 out and use the first 3 terms of the Binomial Theorem. Web30 mrt. 2024 · Ex 13.1, 21 - Chapter 13 Class 11 Limits and Derivatives (Term 1 and Term 2) Last updated at March 30, 2024 by Teachoo Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299. Transcript. Show More. Next: Ex 13.1, 22 Important → Ask a doubt . Chapter 13 Class 11 Limits and Derivatives; Web11 okt. 2014 · lim_(x->0) (cos(x)-1)/x = 0. We determine this by utilising L'hospital's Rule. To paraphrase, L'Hospital's rule states that when given a limit of the form lim_(x→a)f(x)/g(x), where f(a) and g(a) are values that cause the limit to be indeterminate (most often, if both are 0, or some form of ∞), then as long as both functions are continuous and … the greaseman quotes