Limit questions
411 published questions with worked solutions.
- If f(x) = cases x - |x| x , & x 0 2, & x = 0 cases , then _ x 0 f(x) is
- Let f(x) = cases x, & x > 0 x + k, & x < 0 cases The value of k, if _ x 0 f(x) exists, is
- _ x 2^- x [x] is equal to
- If the function f(x) satisfies _ x 1 f(x) - 2 x^2 - 1 = , then
- The value of _ x 1 ( 1 x - 1 x - 1 )
- The value of _ x 2 x^4 - 4 x^2 + 3 2 x - 8 is
- _ x 2 [ 1 x - 2 - 2(2x - 3) x^3 - 3x^2 + 2x ] is equal to
- What is the value of _ x 0 1 - 1 + x x ?
- _ x 0 2 + x - 2 x is equal to
- _ x a a + 2x - 3x 3a + x - 2 x is equal to 2m 9 , where m is equal to
- _ x 0 1 + x + x^2 - x + 1 2x^2 is equal to
- The value of _ z 0 [ (b + z)^ 1/2 - (b - z)^ 1/2 z ] is
- Find n, if _ x 2 x^n - 2^n x - 2 = 80, n N.
- If _ x 3 x^n - 3^n x - 3 = 108, the positive integer n is equal to
- _ x 1 (x + x^2 + x^3 + + x^n) - n x - 1 is equal to
- _ x 0 x - x ^3 x is equal to
- _ x 1 - x 2 x 2 ( x 4 - x 4 ) is equal to
- _ x 0 2 x - 2x x^3 is equal to
- _ x 6 ^2 x - 3 cosec x - 2 is equal to
- _ x 0 x^2 x 1 - x is equal to
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration