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YouTubeMathematical Visual Proofs
The Sphinx Sums a Geometric Series
The Sphinx Sums a Geometric Series This is a short, animated visual proof demonstrating the sum of the infinite series with first term 8/9 and ratio 1/9 using a famous rep-tile shape known as the Sphinx. Geometric series are important for many results in calculus, discrete mathematics, and combinatorics. If you like this video, consider ...
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Q) Show that 𝑓:𝑅_+→[−5,∞) given by 𝑓(𝑥)=4𝑥^2+4𝑥−5 is both one-one and onto where 𝑅_+=[0,∞).
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