Use the squeeze theorem to find - is function continuous on

Question

Question 1. Use the Squeeze Theorem to find lim_x→0 x sin(1/x)

Question 2. Is f(x) = (x² - 7)/(x - 3) continuous on the interval (3, ∞)?

Evaluate:

Question 3. lim_h→0 (√(x + h) - √x)/h

Question 4. d/dx(1/√x)

Question 5. d/dx (x³ - x + 7 + √x )

Question 6. d/dx.e^x

Question 7. d/dx(sin(x) + (x-3)2 + 4y)