# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\lim_{x\to0}\left(3x+1\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to0}\left(3x\right)+\lim_{x\to0}\left(1\right)$

Learn how to solve limits by direct substitution problems step by step online. Evaluate the limit of 3x+1 as x approaches 0. The limit of a sum of two functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). The limit of a constant is just the constant. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}. Evaluate the limit by replacing all occurrences of x by 0.

$1$
$\lim_{x\to0}\left(3x+1\right)$

### Main topic:

Limits by direct substitution

### Time to solve it:

~ 0.02 s (SnapXam)