lim⁡ℎ→049+ℎ−7ℎ=h→0lim​ h49+h​ −7​ =

The given expression is a limit problem in calculus. Here's how you can solve it:

Step 1: Recognize the limit problem The problem is asking for the limit as h approaches 0 for the expression (49 + h - 7) / h.

Step 2: Simplify the expression First, simplify the expression in the limit. The expression (49 + h - 7) simplifies to (42 + h).

So, the limit problem now is: lim(h→0) (42 + h) / h

Step 3: Substitute h = 0 Now, substitute h = 0 into the simplified expression. If the result is a real number, then that is the limit. If the result is an indeterminate form (like 0/0 or ∞/∞), then we need to do more work.

Substituting h = 0 gives us 42/0, which is undefined. So, we need to do more work.

Step 4: Factor and cancel In this case, there's no common factor in the numerator and denominator that we can cancel out. So, we can't simplify the expression any further.

Therefore, the limit of the given expression as h approaches 0 does not exist.