Thread: Limit problem

Hello everyone! I just started university calculus and am having problems with a problem (hehe). I would really appreciate some help

PROBLEM:

Let f(x) = √3x

a)

Calculate the limits given that x>0

lim h -> 0 [f(x+h)-f(x)]/h = lim h-> 0 [√3(x+h) - √3x]/h

by multiplying numerator and denominator with f(x+h) + f(x) = √[3(x+h)] + √3x and simplifying.

b)
Find the equation for the tangent for the graph f at point (3,3)

Originally Posted by Nora314

PROBLEM:
Let f(x) = √3x
a)
Calculate the limits given that x>0
lim h -> 0 [f(x+h)-f(x)]/h = lim h-> 0 [√3(x+h) - √3x]/h[COLOR=#000000]

Is it $\displaystyle \sqrt{3}\,x$, that is what you have written?

Or is it $\displaystyle \sqrt{3x}$. If so please use proper grouping symbols.