# Shrayansh Jyoti

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 3 Inverse of $(e^x - e^{-x})/2$ 3 Proving by induction that $\sum_{k=0}^n{n \choose k} = 2^n$ 2 Induction: Show that $\sin(2x) + \sin(4x) + \ldots+ \sin(2nx) = \frac{\sin(nx)\sin((n+1)x)}{\sin(x)}$ 1 Triples of complex number 1 Solving for a variable with square roots in equation

# 334 Reputation

 +10 Inverse of $(e^x - e^{-x})/2$ +5 Complex Numbers… +10 1 to the infinty indeterminate limit +5 Roots of Taylor's series.

# 9 Questions

 4 Complex Numbers… 3 Domain and range of a function. 2 1 to the infinty indeterminate limit 2 Graph of a function and it's inverse. 1 Roots of Taylor's series.

# 18 Tags

 6 algebra-precalculus × 3 1 complex-numbers × 3 5 induction × 2 1 diophantine-equations 3 inverse 1 algebraic-number-theory 3 hyperbolic-functions 0 functions × 7 2 trigonometry × 2 0 calculus × 7

# 3 Accounts

 Mathematics 334 rep 18 Chemistry 123 rep 3 Physics 104 rep 4