Answer the question and write it clearly

2. When we say a number between 0 and 1 is expressed in a decimal representation we write O.didzd3... where di represents a digit and takes on the value of one of the numbers 0, 1,2,..9. In English we say that dj is in the tenths place, d2 the digit in the hundredths place and so on Symbolically the number in decimal form can then be expressed as: 0.didzd3... = d1 d2 d3 d4 10 + + + + ... 100 1000 10000 Show that the series above always converges