B:-1
6-2
D:-Does not exists
Correct Answer:- Option-B
Question65:-Which of the following is not uniformly continuous on *RR* 7
ಹೀ
B:-sin x
‏بالك‎
‎ப ஙு!
Correct Answer:- Option-C
Question66:-Let ട (1 ="1/1"(2)+1/2~(2)+...+1/(n~(2))" . Then which is false 7
:-{*s_(n)" }s a sequence 10 ' 00
(1 115 a Cauchy sequence in *QQ"
:-{"s_(n)" ) 15 ೧೧೧೪6೧6೧1೧ "007
D:-None of these
Correct Answer:- Option-C

Question67:-Let *f (೧) : `ಗ87 *->" "RR" defined by
Then choose the most correct answer
A:-{f (n}}" does not convergent on दिरिः
B:-*{f (n)}" converges to zero function on *RR*
C:-{"f (n)" } converges to zero function on ` दिरिः (णि
D:-None of these
Correct Answer:- Option-B
Question68:-Which is false 7
A:-There exists a function f: *RR" *->" "RR" which is continuous exactly at one point
B:-There exists a function f :'RR" "->RR" which is differentiable exactly at one point
C:-There exists a function f :'RR* *->" "RR" which is discontinuous everywhere
D:-None of these
Correct Answer:- Option-D
Question69:-Which of the following subset of *RR~(3)" has positive Lebesgue measure 7
கதா காடு டு + ` #^{(2)}` + 2^{2)` = 1}
8:-{( ४, 2) டு : x +y+z=1}
വ്‌ യമു ഡ്‌ ദുഷ്ട ` ४४ (1) = {0 ‏ود‎ ` रिरि }, ` ५५ (2)` ‏ومح ماح‎ : ங்‌.
31 (3) ={(- +): ञी "RR" }
D:-None of these
Correct Answer:- Option-C
Question70:-If *int_{1)*(o0)" f(x) dx = Lwhere 0 < L < “00"; then *lim_{x->00})" f(x} is
ಹಿಂ
8: ‏وہ‎ ~~
C:-always exists
D:-need not exists
Correct Answer:- Option-D
Question71: is false 7
A:-tos 5 has a solution in *CC*
B:-sin 2 15 8 polynomial in 06
:-57^(2}` +` 05 2^(2}` = 1 व॥ 2 `` ` `
D:-Every non constant polynomial in *CC*[x] has a zero ॥ ` (८
Correct Answer:- Option-B
Question72:-The image of the line y = 1 under the mapping w ಎ 51೧ 215
A:-Parabola
B:-Ellipse
C:-Rectangular Hyperbola
D:-None of these
Correct Answer:- Option-B
Question73:-The value of 17 (೮) `(1)/(27(3)(24-1)` 62 ೫೧೮೧೬ 0 15 |7| ಎ 3; 15