`lim_(x ->0^+) (cosec x)^(1/logx)`

1.	`lim_(x ->0^+) (cosec x)^(1/logx)`
Answer» `l = lim_(x->0^+) (cosec x)^(1/logx) , (oo)^(1/oo) x` `log l = lim_(x->0^+) 1/log x log cosecx` `= lim_(x->0^+) (-1/(cosecx) cotxcosecx)/(1/x)` `= lim_(x->0+) x cotx` `log l = 0` `l= 1` Answer

Discussion

No Comment Found

Related InterviewSolutions

`K_(f)` for water is `1.86 K kg mol^(-1)`. IF your automobile radiator holds `1.0 kg` of water, how many grams of ethylene glycol `(C_(2)H_(6)O_(2))` must you add to get the freezing point of the solution lowered to `-2.8^(@)C` ?A. 72gB. 93gC. 39gD. 27g
`underset("Cold" NaNO_(2))overset(dil HCl)rarrX` `X` is mixed with a mixture of phenol and aniline in acidic medium. The product obtained isA. B. C. D.
Which of the following arrangements shows schematic alignment of magnetic moments of antiferromagnetic substances?A. B. C. D.
In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct ?A. Every object that is weighted using this balance appears lighter than its actual weightB. Left arm is shorter than the right armC. Both the arms are of same lengthD. Left arm is longer than the right arm
In the given circuit diagram, the currents, `I_1=-0.3A,I_4=0.8A` and `I_5=0.4A`, are flowing as shown. The currents `I_2,I_3` and `I_6` respectively, are : A. `1.1A,-0.4A,0.4A`B. `1.1A,0.4A,0.4A`C. `0.4A,1.1A,0.4A`D. `-0.4A,0.4A,1.1A`
Percentage of free space in cubic close packed struchure and in body centred structure are respectively.A. `30% and 26%`B. `26% and 32%`C. `32% and 48%`D. `48% and 26%`
The intermolecular interaction that is dependent on the inverse cube of distance between the molecules isA. ion - dipole interactionB. London forceC. hydrogen bondD. ion - ion interaction
With reference to Valence Bond Theory in co-ordination compounds which of the following statements is//are, correct? I. `VBT` does not explain the colour exhibited by co-ordination compounds. II. `VBT` explains and gives quantitative interpetation of magnetic data. III. `VBT` does not distinguish between weak field ligand and strong field ligand.A. `I,II,III`B. `I,II`C. `II,III`D. `I,III`
If `K_(sp)` of `Ag_(2)CO_3` is `8xx10^(-12)`, the molar solubility of `Ag_2CO_3` in `0.1M AgNO_3` is:A. `8xx10^(-12)M`B. `8xx10^(-11)M`C. `8xx10^(-10)M`D. `8xx10^(-13)M`
The density of a solution prepared by dissolving 120 g of urea (mol. Mass=60 u) in 1000 g of water is 1.15 g/mL. The molarity if this solution isA. 0.50 MB. 1.78 MC. 1.02 MD. 2.05 M

`lim_(x ->0^+) (cosec x)^(1/logx)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment