Can you show us what you've tried for each question please?
I have tried to use the f(x) is aprox f(a) + f'(a)(x-a) Equation for this.. but I just can seem to get it to work.
What are the tangent line approximations to the following functions near x=0?
With e^x I used f'(e^x) is e^x so plugging it into the equation I got e^0 + e^x(x-0)
The equation I used is f(x) is approx f(a)+f'(a)(x-a) and I used 0 for a. So the answer I plugged in was 1+xe^x