Limits

JEE Main Mathematics · 4 questions

All questions, latest first

• The value of lim_x → 0((x^2 sin^2 x)/(x^2- sin^2 x)) is:20266 April, Shift 1 · Q17
• Let f(x)= lim_y → 0 ((1- cos (x y)) tan (x y))/y^3. Then the number of solutions of the equation f(x)= sin x, x ∈ R is:20265 April, Shift 2 · Q17
• The product of all possible values of α, for which lim_x → 0((1- cos (α x) cos ((α+1) x) cos ((α+2) x))/(sin^2((α+1) x)))=2, is:20265 April, Shift 1 · Q17
• If lim_x → 2 (sin (x^3-5 x^2+a x+b))/((√(x-1)-1) log_e(x-1))=m, then a+b+m is equal to:20262 April, Shift 1 · Q16