test for functions summary

Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite se..

Summary - Aldehydes, ketones, carboxylic acids and their functional derivatives (aryl halides, acid anhydrides, esters and amides) contain a carbonyl group and are highly polar molecules. They boil at higher temperature than hydrocarbon and weakly polar compounds like ethers, of..

Boil egg white in distilled water till a cloudy suspension is obtained. Cool it and divide the mixture into five equal portions in separate test-tubes. Label them A to ..

Science is the way by which a person gets at the truth or at least as close to truth as possible. The basis of science is its orderly stepwise procedure - the scientific method. Scientific method employs various procedures such as, accurate observation, asking questions about the observatio..

Asia has 60% of global population and continues to dominate the global population in next 50 years. Some countries in Europe have negative or zero growth of population. In India, U.P is a populous state but density of population is highest in West Bengal, literacy rate and sex ratio is high..

>Darwin believed that tiny particles called pangenes are formed in the different parts of the body, which migrate to the gametes. The blending theory on inheritance became replaced by the particulate theory of inheritance due to the contributions made by John Gregor Mendel (1822-1884). Mendel condu..

Animals may reproduce by asexual and sexual modes. The reproductive system of sexually reproducing animals consists of primary sex organs which produce the gametes, the secondary sex organs which participate in reproduction but do not form gametes and accessory sex characters which distinguish the ..

Sulphur dioxide is found in volcanic gases and in the springs of volcanic regions. Its prepared by the direct combination of sulphur and oxygen or reaction of a metal with concentrated sulphuric acid. Sulphur dioxide acts as a bleaching agent only in the presence of moisture. The bleachi..

Environment is defined as the surroundings in which the organism lives. It has two components - abiotic and biotic. The abiotic environment includes the air (atmosphere), water (hydrosphere) and land (lithosphere). The biotic environment includes the plants, animals and the microbes. The th..

The removal of harmful and unwanted toxic waste products of metabolism is known as excretio..