IIT JAM Follow
January 15, 2022 7:25 pm 30 pts
20) If f(x) lim-o S, X), where S,x)= x x+1)(2x + 1) (2x + 1)(3x + 1) + (nx +1)(n + 1)x + 1) then the function f is [Question ID = 2131] 1. continuous nowhere. [Option ID = 8524] 2. continuous everywhere. [Option ID = 8521] 3. contnuous everywhere except at countably many points. [Option ID = B522] 4. Continuous everywhere except at one point. [Option ID = 8523] Correct Answer: continuous everywhere except at one point. [Option ID = 8523 * de Or change of f(x, y) = 4y -x2 at the point (1, 5) in the direction from (1, 5) to ne po (4, 3) is 21) [Question ID = 2130] 5 [Option ID = 8519] -14 2. V13 Option ID = 8518] -12 VS rOption ID 8520] 3. -19 V13 [Option ID = 8517] 4. Correct Answer:- -14 V13 rOption ID = 8518] Let G = {a1, a2,, a2s} be a group of order 25. For b, c E Glet bG = {ba1, baz,..., ba25), Gc = {a1c, a2C, .., a25C. Then [Question ID = 2119] bG= Gc only if b = c. rOption ID = 8475] bG= Gc Vb, c E G. Option ID = 8473] 2. bG= Gc only if b " = c. [Option ID = 8476] bG Gc, if be c. [Option ID = 8474] Correct Answer-
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• Smitarani swain
but ans is b.
Navdeep goyal 1
check and response
• Navdeep goyal 1
21 B 22 order of G is 25 so G is abelian b=C then bG=Gc
Navdeep goyal 1
check
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