1. ## linearization problem...

What is the local linearization of e^x^2 near x = 1?

2. Use $f(x) \approx f(a) + f'(a)(x-a)$
So $f(x) = e^{x^2}$ and $f'(x) = 2xe^{x^2}$
$f(1) = e$ and $f'(1) = 2e$
So $f(x) \approx e + 2e(x-1)$