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Compute the following limit for each function in Problems $81-88 .$ $$\lim _{h \rightarrow 0} \frac{f(2+h)-f(2)}{h}$$ $$ f(x)=3 x+1 $$

They now we want to find the value off fo X plus image. So subject you explosive edge for nix. So here, for explosive edge that is equal to negative tree market planned by express image. That's for but your negative three X negative three edge. That's for modesty. With you off therefore explicit. Thank you.

Now we want to find the value off F or explosive. So substitute explosive for nix. So here, therefore, explores edge that is equal to negative tree market planned by express image. That's for but your negative three X negative. Three edge. That's for Battisti, with you off therefore explicit. Thank you.

In this problem we have been given a function F of X which is equal to tree X last four. Now we have been asked to determine the value of F. E. Place each minus F. O. E. Okay. And we need to simplify the answer. Now we can, a plane F of a plus eight by substituting X is equal to a plus age in this expression for F of X. So you will have three times E plus H plus four. And from this we subtract F E. We obtain that by substituting X equals to A. In this expression. So we have three plus four. Now let us simplify this. We have three times a plus age which is three A plus three age. Then we have a plus four and minus of three plus four. So that will be minus +38 minus four, three and minus three gets cancelled out. Foreign minus four gets canceled out. And we are left with three H. Hence the required simplified expression for F. Of a plus H minus F. Of a is equal to three. H.