Learn how to solve problems step by step online. Find the limit of (xe^(-2x)(4x+1))/(x^2+3x+1) as x approaches 0. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Evaluate the limit \lim_{x\to0}\left(\frac{x\left(4x+1\right)}{\left(x^2+3x+1\right)e^{2x}}\right) by replacing all occurrences of x by 0. Multiply 3 times 0. Add the values 0 and 1.

Find the limit of (xe^(-2x)(4x+1))/(x^2+3x+1) as x approaches 0