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###### Jinesh Jain posted an Question
February 07, 2022 • 22:42 pm 30 points
• IIT JAM
• Mathematics (MA)

# I sheet -5 if fa)=1/(1-x).g(x)= f[s()1 and a(x)= fls()] then f)8(x)h(x) equal to? what 6. what is the value of lim is xyx- 1+in y (a.) 1-in y (a.)-1 (b.) 0 1-in

I SHEET -5 If fa)=1/(1-x).g(x)= f[s()1 and A(x)= fLs()] then f)8(x)h(x) equal to? what 6. What is the value of lim is Xyx- 1+In y (a.) 1-In y (a.)-1 (b.) 0 1-In y (b.) 1+In y (c.) 1 (d.) 2 The number of distinct real roots of the equation +r++x+x+1 = 0 is (c.)tn y 1+In y (d.)-Iny 1-In y (a.) 1 b.) 3 Sin x Assertion (A): lim =0 1. (c.) 5 X (d.)9 Reason (R): lim- Sn=lim sin xlim e-X- Xo X I What is the value of lim x0 (a.) Both A and R are individually true andR is the correct explanation of A (a.) 0 b.) Both A and R are individually true butR is not the correct explanation ofA (b.) 1/2 (c.)2 (c.) A is true but R is false (d.)e (d.) A is false but R is true 4If D is the set of all real x such that What is the value of 8. lim sin(l/x) + cos(1/x)} =? fx) =1-e 1S positive, then what is (a.) 0 D equal to? (a.)-,0) U1,o) e (b.)-o,0) U[1,o) (c.) e (c.) (1,o) (d.) 1 9. Which one of the following functions is not (d.) (-o,1) well defined? lim+3 sin x- x-k sinh xists (a.) V1+sin x) If lim- 0 1-cos x +x-3x then what is the value of k (b.) V(5secr-4) (a.) -1 (c.) 3-cos ) b.) 2 (c.) 3 (d.)+ 100 Nou Delhi-110016, Ph.: (011)-26537527, Cell: 9999183434 &9899161734, 8588844789 dinsacademv.com (d.) 4 172

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