Yes. Just remember the following words by converting them to some image or something:

1. exp(x) = Sum of factors in a Geometric series over their corresponding Factorial, or just Σ [(x^y)/ y! ] , for y=0 up to y=n

2. sin(x) = A Geometric series of the Alternate Sum of all the factors with an ODD exponent, over the exponent's corresponding Factorial.

3. cos(x) = A Geometric series of the Alternate Sum of all the factors with an EVEN exponent, over their over the exponent's corresponding Factorial.

4. 1/ (1-x) = A simple Geometric series of the Sum of of factors, with an ascending exponent of all the Natural numbers.
or just Σ (x^y), for y=0 up to y=n

5. (1+x)^a. This is kinda hard to remember for combinatorics or algebra exams. But let's try:

(1+x)^a = The Sum of factors in a Geometric series with each factor having as a coefficient: the diminishing product of the exponent over the exponent's corresponding Factorial.

Thank you Nodas!
As for the (1+x)^a one, I found it was Newton Binomial theorem...

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Yes. Just remember the following words by converting them to some image or something:

1.

exp(x)= Sum of factors in a Geometric series over their corresponding Factorial, or just Σ [(x^y)/ y! ] , for y=0 up to y=n2.

sin(x)= A Geometric series of the Alternate Sum of all the factors with an ODD exponent, over the exponent's corresponding Factorial.3.

cos(x)= A Geometric series of the Alternate Sum of all the factors with an EVEN exponent, over their over the exponent's corresponding Factorial.4.

1/ (1-x)= A simple Geometric series of the Sum of of factors, with anascendingexponent of all the Natural numbers.or just Σ (x^y), for y=0 up to y=n

5.

(1+x)^a. This is kinda hard to remember for combinatorics or algebra exams. But let's try:(1+x)^a= The Sum of factors in a Geometric series with each factor having as a coefficient: the diminishing product of the exponent over the exponent's corresponding Factorial.- Nodas

Thank you Nodas!

As for the

(1+x)^aone, I found it was Newton Binomial theorem...