# GATE2017-6

$\underset{x \to 0}{\lim} \dfrac{\sin(x)}{x}$ is ________
in Others
edited

## Related questions

1
In a thin layer chromatography experiment using a silica gel plate, a compound showed migration of $12.5$ cm and the solvent front showed migration of $18$ cm. The $R_f$ value for the compound is ______
2
If a protein contains four cysteine residues, the number of different ways they can simultaneously form two intra-molecular disulphide bonds is __________.
A $5$ liter chemostat is fed fresh medium at $0.2$ liters/minute having a substrate concentration of $25$ grams/liter. At steady state, the outgoing stream has substrate concentration of $2.5$ grams/liter. The rate of consumption (grams/liter/minute) of the substrate in the reactor is __________
At the transcription start site of a gene, any of the four nucleotides can occur with equal probability $p$. The Shannon Entropy $S$, given by $S= – \Sigma_{i=1}^4 p_i \ln p_i$, for this start site is _________
Consider an infinite number of cylinders. The first cylinder has a radius of $1$ meter and height of $1$ meter. The second one has a radius of $0.5$ meter and height of $0.5$ meter. Every subsequent cylinder has half the radius and half the radius and half ... preceding cylinder. The sum of the volumes (in cubic meters) of these infinite numbers of cylinder is __________. Given data: $\pi = 3.14$